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AQA A Level Maths Integrals Revision Sheet

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Ethan

27/11/2022

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Integration Cheat Sheet

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AQA A Level Maths Integrals Revision Sheet

A comprehensive guide to integration rules and formulas in A Level Maths, covering essential techniques for solving various integral problems.

• The guide extensively covers integration rules with examples for trigonometric, exponential, and logarithmic functions
• Detailed explanations of standard results found in the AQA A Level Maths Pure revision pdf
• Special focus on complex integration techniques including partial fractions and substitution methods
• Essential reference for A Level Maths integration cheat sheet with comprehensive formula coverage
• Perfect companion for A Level Maths Pure revision sheet covering integrals of different functions questions

...

27/11/2022

714

<p>The AQA Maths A Level Book covers a variety of topics, including integration rules and formulas. In the given text, the rules of integra

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Page 2: Advanced Integration Techniques

This page focuses on more complex integration problems commonly found in AQA A Level Maths exam questions by topic. It demonstrates various techniques for handling complicated integrals.

Definition: Partial fractions is a method used to break down complex rational expressions into simpler terms for integration.

Example: For expressions like 2x+12x+1/1−3x1-3x, using substitution u = 2x+1 simplifies the integration process.

Highlight: When dealing with products of sine and cosine with the same coefficient, double angle formulas should be employed.

Vocabulary: Reverse chain rule - a technique used when integrating expressions of the form kf'xx/fxx

The page extensively covers:

  • Integration of products involving trigonometric functions
  • Handling rational functions through partial fractions
  • Complex substitution methods
  • Algebraic division techniques before integration

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Subjects

Maths

Pure maths

Trigonometry

 

Maths

•

714

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27 Nov 2022

•

2 pages

AQA A Level Maths Integrals Revision Sheet

user profile picture

Ethan

@ethanjordan

A comprehensive guide to integration rules and formulas in A Level Maths, covering essential techniques for solving various integral problems.

• The guide extensively covers integration rules with examples for trigonometric, exponential, and logarithmic functions
• Detailed explanations of... Show more

<p>The AQA Maths A Level Book covers a variety of topics, including integration rules and formulas. In the given text, the rules of integra

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Page 2: Advanced Integration Techniques

This page focuses on more complex integration problems commonly found in AQA A Level Maths exam questions by topic. It demonstrates various techniques for handling complicated integrals.

Definition: Partial fractions is a method used to break down complex rational expressions into simpler terms for integration.

Example: For expressions like 2x+12x+1/1−3x1-3x, using substitution u = 2x+1 simplifies the integration process.

Highlight: When dealing with products of sine and cosine with the same coefficient, double angle formulas should be employed.

Vocabulary: Reverse chain rule - a technique used when integrating expressions of the form kf'xx/fxx

The page extensively covers:

  • Integration of products involving trigonometric functions
  • Handling rational functions through partial fractions
  • Complex substitution methods
  • Algebraic division techniques before integration
<p>The AQA Maths A Level Book covers a variety of topics, including integration rules and formulas. In the given text, the rules of integra

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

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Page 1: Integration of Basic Functions

This page presents fundamental integration rules for trigonometric, exponential, and logarithmic functions essential for A Level Maths topics. The content systematically outlines standard integration results and special cases.

Definition: Standard results are fundamental integration formulas that form the basis of more complex integration problems.

Example: For sin²x and cos²x integration, the double angle formula is used: cos 2x = 1 - 2sin²x

Highlight: The formula booklet contains many standard results, but some key integrations like ex and ax must be memorized.

Vocabulary: IBP IntegrationByPartsIntegration By Parts - a technique used for integrating products of functions

The page covers essential formulas including:

  • Trigonometric functions and their squares
  • Exponential and logarithmic functions
  • Special identities like 1 + tan²x = sec²x

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Stefan S

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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

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

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

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

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 apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user