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int(dx)/(1+sin x)=tan((x)/(2)+a)+b...

int(dx)/(1+sin x)=tan((x)/(2)+a)+b

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If int (dx)/(1- sin ^(4)x )= a tan x +b tan ^(-1) (c tan x )+ D, then:

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