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Let g(t) = int(x(1))^(x^(2))f(t,x) dx. T...

Let `g(t) = int_(x_(1))^(x^(2))f(t,x) dx`. Then `g'(t) = int_(x_(1))^(x^(2))(del)/(delt) (f(t,x))dx`, Consider `f(x) = int_(0)^(pi) (ln(1+xcostheta))/(costheta) d theta`.
The number of critical point of `f(x)`, in the interior of its domain, is

A

0

B

1

C

2

D

infinitely many

Text Solution

Verified by Experts

The correct Answer is:
A
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