미분과 적분의 관계를 이해하는 것은 수학의 핵심 개념 중... Show more
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Oct 7, 2022
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Easy Guide to Derivatives and Integrals: Concepts and Real-Life Uses
Diana
@ddovgy
복잡한 적분 문제 해결
이 페이지는 더 복잡한 적분 문제의 해결 방법을 소개합니다. 어려운 적분 문제를 해결하기 위한 다양한 기술과 접근 방법을 설명하며, 학생들이 미적분 문제풀이 능력을 향상시킬 수 있도록 돕습니다.
페이지는 여러 가지 적분 예제를 제시하며, 각 예제에 대한 상세한 풀이 과정을 보여줍니다. 이를 통해 학생들은 적분 풀이과정 계산기를 사용하지 않고도 복잡한 문제를 해결하는 방법을 배울 수 있습니다.
Example: ∫dx = - 5x + C
페이지는 또한 루트 함수의 적분, 지수 함수의 적분 등 다양한 유형의 적분 문제 모음을 제공합니다. 이러한 예제들은 수2 정적분 문제를 해결하는 데 필요한 기술을 연습할 수 있는 좋은 기회를 제공합니다.
Highlight: 복잡한 적분 문제를 해결할 때는 적분 대상 함수를 더 간단한 형태로 변형하는 것이 중요합니다.
마지막으로, 페이지는 무한급수 정적분 변환과 같은 고급 주제에 대한 힌트를 제공합니다. 이를 통해 학생들은 더 높은 수준의 수학적 사고를 발전시킬 수 있습니다.
Vocabulary: 정적분 - 주어진 구간에서의 적분 값을 계산하는 것
기본 함수의 적분 학습
이 페이지는 기본 함수의 적분 방법을 소개하며, 미분과 적분 개념의 관계를 설명합니다. 적분은 미분의 역연산으로, 함수의 면적이나 누적 변화를 계산하는 데 사용됩니다. 페이지는 여러 적분 예제를 통해 적분 미분 공식을 설명하고 있습니다.
Definition: 적분은 미분의 역연산으로, 함수의 면적이나 누적 변화를 계산하는 수학적 방법입니다.
페이지는 x²의 적분, x의 적분, 그리고 더 복잡한 함수의 적분 예제를 제시합니다. 각 예제는 적분 과정을 단계별로 보여주며, 적분 상수 C의 중요성을 강조합니다.
Example: ∫x²dx = + C
Highlight: 적분 상수 C는 모든 부정적분에 포함되며, 이는 미분 시 사라지는 상수항을 나타냅니다.
페이지는 또한 분수 지수를 가진 함수의 적분, 루트 함수의 적분 등 다양한 적분 공식을 소개합니다. 이를 통해 학생들은 미분적분 개념정리를 더욱 깊이 이해할 수 있습니다.
Vocabulary: 부정적분 - 적분 상수를 포함한 적분의 일반적인 형태
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Easy Guide to Derivatives and Integrals: Concepts and Real-Life Uses
Diana
@ddovgy
미분과 적분의 관계를 이해하는 것은 수학의 핵심 개념 중 하나입니다. 이 문서는 기본 함수의 적분 방법을 설명하며, 적분이 미분의 역연산임을 강조합니다.
- 적분의 기본 개념과 공식을 소개
- 다양한 함수의 적분 예제를 제시
- 적분 상수의 중요성을 설명
- 복잡한 적분 문제의 해결... Show more
복잡한 적분 문제 해결
이 페이지는 더 복잡한 적분 문제의 해결 방법을 소개합니다. 어려운 적분 문제를 해결하기 위한 다양한 기술과 접근 방법을 설명하며, 학생들이 미적분 문제풀이 능력을 향상시킬 수 있도록 돕습니다.
페이지는 여러 가지 적분 예제를 제시하며, 각 예제에 대한 상세한 풀이 과정을 보여줍니다. 이를 통해 학생들은 적분 풀이과정 계산기를 사용하지 않고도 복잡한 문제를 해결하는 방법을 배울 수 있습니다.
Example: ∫dx = - 5x + C
페이지는 또한 루트 함수의 적분, 지수 함수의 적분 등 다양한 유형의 적분 문제 모음을 제공합니다. 이러한 예제들은 수2 정적분 문제를 해결하는 데 필요한 기술을 연습할 수 있는 좋은 기회를 제공합니다.
Highlight: 복잡한 적분 문제를 해결할 때는 적분 대상 함수를 더 간단한 형태로 변형하는 것이 중요합니다.
마지막으로, 페이지는 무한급수 정적분 변환과 같은 고급 주제에 대한 힌트를 제공합니다. 이를 통해 학생들은 더 높은 수준의 수학적 사고를 발전시킬 수 있습니다.
Vocabulary: 정적분 - 주어진 구간에서의 적분 값을 계산하는 것
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
기본 함수의 적분 학습
이 페이지는 기본 함수의 적분 방법을 소개하며, 미분과 적분 개념의 관계를 설명합니다. 적분은 미분의 역연산으로, 함수의 면적이나 누적 변화를 계산하는 데 사용됩니다. 페이지는 여러 적분 예제를 통해 적분 미분 공식을 설명하고 있습니다.
Definition: 적분은 미분의 역연산으로, 함수의 면적이나 누적 변화를 계산하는 수학적 방법입니다.
페이지는 x²의 적분, x의 적분, 그리고 더 복잡한 함수의 적분 예제를 제시합니다. 각 예제는 적분 과정을 단계별로 보여주며, 적분 상수 C의 중요성을 강조합니다.
Example: ∫x²dx = + C
Highlight: 적분 상수 C는 모든 부정적분에 포함되며, 이는 미분 시 사라지는 상수항을 나타냅니다.
페이지는 또한 분수 지수를 가진 함수의 적분, 루트 함수의 적분 등 다양한 적분 공식을 소개합니다. 이를 통해 학생들은 미분적분 개념정리를 더욱 깊이 이해할 수 있습니다.
Vocabulary: 부정적분 - 적분 상수를 포함한 적분의 일반적인 형태
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user