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" 28."(cos2x)/((cos x+sin x)^(2))...

" 28."(cos2x)/((cos x+sin x)^(2))

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int(cos2x)/((cos x+sin x)^(2))dx

Integrate the functions (cos2x)/((cos x+sin x)^(2))

(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx

(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx

(cos2x)/(sin ^(2) x cos^(2) x)

(1 + sin 2x + cos 2x )/( cos x + sin x ) = 2 cos x

int(cos2x)/((sin x+cos x)^(2))dx=

2tan2x = (cos x + sin x) / (cos x-sin x) - (cos x-sin x) / (cos x + sin x)

(cos^(3) x- sin^(2) x)/(cos x - sin x)=(1)/(2) (2 + sin 2x)

Evaluate: int(cos x-sin x)/(cos x+sin x)(2+2sin2x)dx