[int_(1)^(1)e^(1)((2tan x)/(1+tan x)+cot^(2)(x+(pi)/(4)))dx" is equal to "],[qquad [" c."e^(x)tan((3 pi)/(4)-x)+c," c."]]

int e^(x)((2tan x)/(1+tan x)+cot^(2)(x+(pi)/(4)))dx is equal to e^(x)tan((pi)/(4)-x)+ce^(x)tan(x-(pi)/(4))+ce^(x)tan((3 pi)/(4)-x)+c(d) none of these

int_(0)^(pi//4)e^(x)(1+tan x + tan^(2)x)dx=

If int e ^(x) ((2tan x)/(1+tan x)+ cosec ^(2)(x+(pi)/(4)))dx =e ^(x). g(x)+k, then g ((5pi)/(4))=

tan ^(-1) (cot x) + cot ^(-1) (tan x) =(pi)/(4)

int_(0)^(pi//4) (sec^(2)x)/((1+tan x)(2+tan x))dx is equal to

inte^x((2tanx)/(1+tanx)+cot^2(x+pi/4))dx is equal to (a) e^xtan(pi/4-x)+c (b) e^xtan(x-pi/4)+c (c) e^xtan((3pi)/4-x)+c (d) none of these

int_(0)^((pi)/(2))(1)/(cot x+tan x)dx

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