evaluate-sin-1-x-1-x-2-dx-

Question Number 8782 by uchechukwu okorie favour last updated on 27/Oct/16

e v a l u a t e; \int \frac{\sin^{- 1} x}{\sqrt{1 - x^{2}}} d x

Answered by prakash jain last updated on 27/Oct/16

\sin^{- 1} x = u

\frac{1}{\sqrt{1 - x^{2}}} d x = d u

\int \frac{\sin^{- 1} x}{\sqrt{1 - x^{2}}} d x = \int u d u = \frac{u^{2}}{2} + C = \frac{{(\sin^{- 1} x)}^{2}}{2} + C