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)(n tan x)/(sec x+cos x)dx

int_(0)^( pi)(x tan x)/(sec x+cos x)dx is (pi^(2))/(4)(b)(pi^(2))/(2)(c)(3 pi^(2))/(2) (d) (pi^(2))/(3)

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

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

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

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

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