`int_0^a log (cota+ tanx)dx` where `a in (0,pi/2)` is (A) `alnsina` (B) `-alnsina` (C) `-alncosa` (D) none of these

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8. int_0^(pi/4) log(1+tanx)dx

int_(0)^(pi//2)log(tanx)dx=

int_0^(pi//2)log(tanx)dx

int_0^(pi/2)sin2x log(tanx)dx

int_(0)^((pi)/(2))log(tanx)dx

int_(0)^(pi//4)log(1+tanx)dx=

int_0^pi tanx/(sinx+tanx)dx

Let f(a) = int_0^a(ln(1+tana. tanx)dx then f'(pi/4)

int_0^(pi/2) log|tanx+cotx|dx =