`int_0^10log(1+cottheta)d theta=pi/8log2`

STATEMENT 1: int_0^(pi/4)log(1+t a ntheta)d theta=pi/8log2. STATEMENT 2: int_0^(pi/2)logsin theta d theta =-pilog2.

STATEMENT 1: int_0^(pi/4)log(1+t a ntheta)d theta=pi/8log2. STATEMENT 2: int_0^(pi/2)logsin theta d theta =-pilog2. (a) statement 1 is true, statement 2 is true, Statement 2 is the correct explanation for statement 1. (b) statement 1 is true, statement 2 is true, Statement 2 is not correct explanation for statement 1. (c) statement 1 is true, statement 2 is not true. (d) statement 2 is true, statement 1 is not true.

STATEMENT 1: int_0^(pi/4)log(1+t a ntheta)dtheta=pi/8log2. STATEMENT 2: int_0^(pi/2)logsin"thetadtheta"=-pilog2.

STATEMENT 1: int_(0)^((pi)/(4))log(1+tan theta)d theta=(pi)/(8)log2 STATEMENT 2:int_(0)^((pi)/(2))log sin theta d theta=-pi log2

Evalute: int_(0)^((pi)/(4)) log(1+tantheta)d theta .

If int_(0)^( pi/2)log sin xdx=k, then the value of the definite integral int_(0)^( pi/4)log(1+tan theta)d theta( i) -(K)/(8)( ii) -(K)/(4) (iii) (K)/(8) (iv) (K)/(4)

Evaluate: int_(0)^((pi)/(4))log(1+tantheta)d theta

Evaluate int_(0)^(pi//4) log (1+tan theta)d theta

Evaluate int_(0)^(pi//4) log (1+tan theta)d theta