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For x ge -1, let f(x)=int(0)^(pi//4)log(...

For `x ge -1`, let `f(x)=int_(0)^(pi//4)log_(e)(1+xtanz)dz`. Then value of `f(1/2)-f(1/3)` equals

A

`(pi)/4log_(e)(9/8)`

B

`(pi)/8log_(e)(9/8)`

C

`(pi)/9log_(e)(8/9)`

D

`(pi)/8log_(e)(3/2)`

Text Solution

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The correct Answer is:
B
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