Integrating with Trigonometric Identities (AQA A-Level Mathematics): Flashcards

Simplify w/ identities, apply std integrals, add C

$1$

$\sec^2 \theta$

$1 - 2\sin^2 \theta$

$2\sin \theta \cos \theta$

$\tan \theta - \theta + c$

$-\ln |\cos \theta| + c$ or $\ln |\sec \theta| + c$

$\sin^2 x = \frac{1}{2} - \frac{1}{2}\cos 2x$

$\frac{1}{2}x - \frac{1}{4}\sin(2x) + c$

$\frac{1}{2}x + \frac{1}{4}\sin(2x) + c$