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[" 34."int(0)^( pi/2)(sqrt(tan x)+sqrt(c...

[" 34."int_(0)^( pi/2)(sqrt(tan x)+sqrt(cot x))dx_(" ( ")" ,"],[" 15) "36.int_(0)^( pi/2)(cos^(2)x)/(1+3sin^(2)x)dx]quad " (CBSE "

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int_(0)^(pi//2)(1)/(sqrt(tan x)-sqrt(cot x))dx=

int_(0)^( pi/2)sqrt(1-sin x)dx

int_0^(pi//2) x(sqrt(tan x)+sqrt(cot x))dx equals

int_0^(pi//2) x(sqrt(tan x)+sqrt(cot x))dx equals

int_(0)^(pi//2)(1)/(1+sqrt(tan x))dx=

int_(0)^(pi//6) sqrt(1-sin 2x) dx

int_(0)^(pi//6) sqrt(1-sin 2x) dx

int_(0)^((pi)/(2))(sqrt(tan x))/(sqrt(tan x+sqrt(cot x)))dx

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