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" 8."(x sin x)/(cos^(2)x)...

" 8."(x sin x)/(cos^(2)x)

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int (sin^(8) x - cos ^(8) x)/( 1 - 2 sin^(2) x cos^(2) x) dx is

cos 4x =1- 8 sin ^(2) x cos ^(2) x

cos 4x =1- 8 sin ^(2) x cos ^(2) x

cos 4x =1- 8 sin ^(2) x cos ^(2) x

cos 4x =1- 8 sin ^(2) x cos ^(2) x

cos 4x =1- 8 sin ^(2) x cos ^(2) x

cos x cos 2x cos 4x cos 8x =(sin 16x)/(16sin x)

prove that sin^(8)x-cos^(8)x=(sin^(2)x-cos^(2)x)(1-2sin^(2)x cos^(2)x)

I =int (sin ^(8) x- cos ^(8) x)/( 1-2 sin ^(2) x cos ^(2)x ) dx is equal to:

Prove : int (sin^(8) x - cos ^(8)x)/(1-2sin^(2) x cos ^(2) x) dx = - 1/2 sin 2x + c