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int(0)^( pi/2)(sec^(2)x)/((sec x+tan x)^...

int_(0)^( pi/2)(sec^(2)x)/((sec x+tan x)^(n))dx

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int (sec^(2)x)/((sec x+ tan x)^(5))dx=

int_(0)^((pi)/(2))(sec^(2)xdx)/((sec x+tan x)^(n))

int(sec x)/((sec x+tan x)^(2))dx

The value of int_(0)^(pi/4)(sec x)/(secx + tan x)^(2).dx is

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

int(sec x+tan x)^(2)dx

Find the error in steps to evaluate the following integral int_(0)^(pi)(dx)/(1+2 sin ^(2) x )=int _(0)^(pi)(sec^(2)xdx)/(sec^(2)x+2 tan^(2)x)=int_(0)^(pi) (sec^(2)xdx)/(1+3 tan^(2)x) =(1)/(sqrt3)[tan^(-1)(sqrt3 tan x)]_(0)^(pi)=0

Find the error in steps to evaluate the following integral int_(0)^(pi)(dx)/(1+2 sin ^(2) x )=int _(0)^(pi)(sec^(2)xdx)/(sec^(2)x+2 tan^(2)x)=int_(0)^(pi) (sec^(2)xdx)/(1+3 tan^(2)x) =(1)/(sqrt3)[tan^(-1)(sqrt3 tan x)]_(0)^(pi)=0

Find the error in steps to evaluate the following integral int_(0)^(pi)(dx)/(1+2 sin ^(2) x )=int _(0)^(pi)(sec^(2)xdx)/(sec^(2)x+2 tan^(2)x)=int_(0)^(pi) (sec^(2)xdx)/(1+3 tan^(2)x) =(1)/(sqrt3)[tan^(-1)(sqrt3 tan x)]_(0)^(pi)=0