`int sqrt(1+sin2x)dx`

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int sqrt(1-sin 2x) dx

int sqrt(1+sin 2x)dx=

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int sin x sqrt(1-sin2x)dx

int sqrt(1+sin x)dx=2(sin((x)/(2))-cos((x)/(2)))+c=2sqrt(1-sin x)+c

Find the Definite Integrals : int_0^(pi/4) sqrt(1-sin2x) dx

int(cos x-sin x)/(sqrt(sin2x))dx

Evaluate: int_(0)^( pi/4)sqrt(1+sin2x)dx (ii) int_(0)^( pi/4)sqrt(1-sin2x)dx

int_(0)^((pi)/(4)) sqrt(1+sin 2x) dx =

(i) int sqrt(1+ sin .(x)/(2)dx) (ii) int (1+cos 4x)/(cot x- tan x)dx