Evaluate , where…

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Evaluate ∫dxa2−x2\displaystyle \int \frac{dx}{\sqrt{a^{2}-x^{2}}}, where a>0a>0. (a) 1atan⁡−1xa+C\dfrac{1}{a}\tan^{-1}\dfrac{x}{a}+C (b) cos⁡−1xa+C\cos^{-1}\dfrac{x}{a}+C (c) sin⁡−1xa+C\sin^{-1}\dfrac{x}{a}+C (d) 1asin⁡−1xa+C\dfrac{1}{a}\sin^{-1}\dfrac{x}{a}+C

Related theory

Browse the problem library