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(sin x)/(1+cos^(2)x)...

`(sin x)/(1+cos^(2)x)`

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`tan^(-1)(cos x)+c`
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int( sin 2x)/(1-cos^(2)x)dx

" (9) "int( sin2 x)/(1+cos^(2)x)dx

Integrate the function f(x)=(sin x)/(1+cos^2x)

int(sin2x)/(1+cos^(2)x)dx

int(sin2x)/(1+cos^(2)x)dx=

(sin 2x)/(1- cos 2x ) = cot x

int (sin 2x)/(1+cos^2x)dx=

int (1-sin x) / (cos ^ (2) x)