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If int sin^(-1)x dx=xsin^(-1)x+f(x)+C th...

If `int sin^(-1)x dx=xsin^(-1)x+f(x)+C` then the value of f(x) is-

A

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

B

`log(1+x^(2))`

C

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

D

`log|1-x^(2)|`

Text Solution

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A
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Knowledge Check

  • If int (e^(x)(1+sinx))/(1+cos x)dx=e^(x)f(x)+c , then the value of f(x) is -

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  • If phi (x)=f(x)+x f'(x) , then the value of int phi (x) dx is -

    A
    `(1)/(2)f(x)+c`
    B
    `xf(x)+c`
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    `(1)/(2)x f(x)+c`
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