Integration by Substitution (Edexcel A-Level Further Mathematics): Quizzes

$x = a \sin \theta$

$x = a \sec \theta$

$x = a \tan \theta$

$a \sec \theta \tan \theta \, d\theta$

$\sin^2 \theta + \cos^2 \theta = 1$

$2\cos \theta$

$\frac{1}{a} \arctan\left(\frac{x}{a}\right) + C$

Forgetting to replace $dx$ correctly

$\arcsin\left(\frac{x}{a}\right) + C$

$\ln|\sec \theta + \tan \theta| + C$