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`int(sin^(8)x -cos^(8)x)/(1-2sin^(2)x cos^(2)x)` का मान ज्ञात कीजिए।

Answer» `int (sin^(8) x- cos^(8)x)/(1-2sin^(2) xcos^(2)x)dx`
` = int((sin^(4) x -cos^(4)x)(sin^(4) x + cos^(4)x))/(1-2 sin^(2)x cos^(2) x)`
`int((sin^(2)x - cos^(2)x)(sin^(2) x+ cos^(2)x){(sin^(2) x + cos^(2) x)^(2) - 2 sin^(2) x cos^(2) x})/ (1-2 sin^(2) xcos^(2) x)`
`int(-cos2x . 1{1 - 2 sin^(2) x cos ^(2) x})/(1-2sin^(2) x cos^(2) x)dx`
` = - int cos 2xdx = - (sin2x)/(2)+c`


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