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" (0) "int(8)^( pi)(x tan x)/(sec x cose...

" (0) "int_(8)^( pi)(x tan x)/(sec x cosec x)dx

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

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

int1/(sec x + cosec x) dx

int1/(sec x + cosec x) dx

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

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

int sec x "cosec" x dx=

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