int_(-(pi)/(4))^((pi)/(4))((2tan^(-1)e^(x)-(pi)/(2)))/(1+x^(2))dx" is equal to "

int_(-(pi)/(4))^((pi)/(4))(2tan^(-1)e^(x)-(pi)/(2))/(1+x^(2)) is equal to a.(pi)/(2) b.(pi^(2))/(4)

int_(-(pi)/(2))^((pi)/(2))(dx)/(1+cot^(4)x)

int_((-pi)/(4))^((pi)/(4)) (dx)/(1+e^(tan x))

int_(-(pi)/(4))^((pi)/(4))(dx)/(1+cos2x) is

int_(-(pi)/(4))^((pi)/(4))(2 pi+sin2 pi x)/(2-cos2x)dx

int_(-(pi)/(2))^((pi)/(2))(e^(|sin x|)cos x)/(1+e^(tan x))dx is equal to (a) e+1 (b) 1-(pi)/(2)e(c)e-1(d) none of these

int_(-pi+4)^(pi//4) (tan^(2)x)/(1+a^(x))dx is equal to

int_(-pi+4)^(pi//4) (tan^(2)x)/(1+a^(x))dx is equal to

The value of I=int_(0)^((pi)/(4))(tan^(n+1)x)dx+(1)/(2)int_(0)^((pi)/(2))tan^(n-1)(x//2)dx is equal to

int_(-pi/4)^(pi/4)(secx)/(1+2^(x))dx .