Evaluate int x sin^(-1)x dx on (-1,1)...

Evaluate ` int x sin^(-1)x dx` on (-1,1) .

Text Solution

Verified by Experts

The correct Answer is:

`=(x^(2) sin^(-1) x)/(2)-(1)/(4)(sin^(-1)x-x sqrt(1-x^(2)))+C`.

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Knowledge Check

int sin (tan^(-1) x) dx =

A

`(1)/(sqrt(x +x^(3))) + C `

B

`(1)/(sqrt(1- x^(2)))` + C

C

`sqrt(1 +x^(2)) + C`

D

`sqrt(1 -x^(2)) `+ C

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