Integration by Parts (AQA A-Level Mathematics): Quizzes

Product of unrelated functions

$\int u \frac{dv}{dx} dx = uv - \int v \frac{du}{dx} dx$

Product rule

$-x \cos x + \sin x + c$

$xe^x - e^x + C$

$\ln(x)$ can't be directly integrated

$x \ln x - x + c$

As $\int 1 \times \ln x dx$

$e^2$

Substitution $t = \sqrt{x+1}$