integrte-sin-1-x-

Question Number 46657 by Necxx last updated on 29/Oct/18

i n t e g r t e \sin^{- 1} x

Answered by tanmay.chaudhury50@gmail.com last updated on 29/Oct/18

\int {s i n}^{- 1} x

{s i n}^{- 1} x \times \int d x - \int [\frac{{d s i n}^{- 1} x}{d x} \int d x] d x

{x s i n}^{- 1} x - \int \frac{x}{\sqrt{1 - x^{2}}} d x

t^{2} = 1 - x^{2} 2 t d t = - 2 x d x

s o \int \frac{x d x}{\sqrt{1 - x^{2}}}

\int \frac{- t d t}{t} . = - t = - \sqrt{1 - x^{2}}

a n s i s

{x s i n}^{- 1} x + \sqrt{1 - x^{2}}

Commented by Necxx last updated on 29/Oct/18

t h a n k s b o s s

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