" 45."int(0)^( pi/4)sqrt(tan x)dx...

" 45."int_(0)^( pi/4)sqrt(tan x)dx

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The value of int_(0)^(pi/4) sqrt(tanx) dx+int_(0)^(pi/4) sqrt(cotx) dx is equal to

int_(0)^((pi)/(4))sqrt(1+sin2x)dx

int_(0)^(pi//4)sqrt(1+cos2x)dx

Prove that: int_(0)^((pi)/(4))(sqrt(tan x)+sqrt(cot x)dx=sqrt(2)*(pi)/(2)

Show that int_(0)^(pi//4) (sqrt(tan x )+sqrt(cot x))dx= pi/sqrt(2)

Evaluate int_(0)^((pi)/(4))(sqrt(tan x)+sqrt(cot x))dx

int_(0)^(pi//4) tan x dx

int_(0)^( pi/4)tan^(3)dx

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