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Let g(t) = underset(x(1))overset(x(2))in...

Let `g(t) = underset(x_(1))overset(x_(2))intf(t,x) dx`. Then `g'(t) = underset(x_(1))overset(x_(2))int(del)/(delt) (f(t,x))dx`, Consider `f(x) = underset(0)overset(pi)int (ln(1+xcostheta))/(costheta) d theta`.
`f(x)` is

A

`(0,pi)`

B

`(0,pi^(2))`

C

`((-pi)/(2),(pi)/(2))`

D

`((pi^(2))/(2),(pi^(2))/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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