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" (i) "e^(sqrt(cot x))...

" (i) "e^(sqrt(cot x))

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Differentiate e^(sqrt(cot x)) with respect to x:

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

int_0^(pi//2) (sqrt( cot x))/(sqrt(cot x) - sqrt(tan x)) dx is :

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

2sqrt(cot(x^(2)))

Find the derivatives of e^sqrt(cot x)

int sqrt(cot x)dx

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

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