" 22."int_(0)(x tan x)/((sec x cosec x))dx=(pi^(2))/(4)

int_(0)^( pi)x(tan x)/(sec x+cos x)dx=(pi^(2))/(4)

Using properties of definite integrals,prove the following : int_(o)^( pi)(x tan x)/(sec x csc x)dx=(pi^(2))/(4)

int_(0)^(pi) (tan x)/(sec x + cos x) dx=

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

int(dx)/(sec x+csc x)

int1/(sec x + cosec x) dx

int1/(sec x + cosec x) dx

int_(0)^( pi)(x tan x)/(tan x+sec x)*dx=(pi(pi-2))/(2)

2. int(sec x + cosec x ) dx