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If f(x)=cos(tan^(-1)x), then the value o...

If `f(x)=cos(tan^(-1)x)`, then the value of the intgral `int_(0)^(1)xf''(x)dx` is a)`(3-sqrt(2))/(2)` b)`(3+sqrt(2))/(2)` c)1 d)`1-(3)/(2sqrt(2))`

A

`(3-sqrt(2))/(2)`

B

`(3+sqrt(2))/(2)`

C

1

D

`1-(3)/(2sqrt(2))`

Text Solution

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The correct Answer is:
D
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