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1.11.2 Integrating standard functions

F(x)F(x)F(x) is an antiderivative of f(x)f(x)f(x) when [...]\text{[...]}[...].

A

For x≠0x\neq0x=0, ∫1x dx=ln⁡∣x∣+C\boxed{\displaystyle \int \frac{1}{x}\,dx=\ln|x|+C}∫x1​dx=ln∣x∣+C​.

B

For non-zero kkk, ∫cos⁡(kx) dx=1ksin⁡(kx)+C\boxed{\displaystyle \int \cos(kx)\,dx=\frac{1}{k}\sin(kx)+C}∫cos(kx)dx=k1​sin(kx)+C​.

C

F(x)F(x)F(x) is an antiderivative of f(x)f(x)f(x) when F′(x)=f(x)\boxed{F'(x)=f(x)}F′(x)=f(x)​.

D

2sin⁡(2x)+C2\sin(2x)+C2sin(2x)+C

1.11.2 Integrating standard functions Flashcards

  1. A Level
  2. /Maths
  3. /1.11.2 Integrating standard functions

Flashcards for AQA A Level Maths 1.11.2 Integrating standard functions, covering the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3. 20 cards, matched to the AQA A Level Maths (7357) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.