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Evaluate int sin x cos x cos2x cos 4x ...

Evaluate `int sin x cos x cos2x cos 4x cos 8x dx`

Text Solution

Verified by Experts

The correct Answer is:
`-(1)/(256)cos16x+C`
`I= intsin x cos x cos2x cos 4x cos 8x dx`
`=(1)/(2)int sin2x cos2x cos4x cos8x dx`
`=(1)/(4)intsin4xcos4xcos8xdx`
` = (1)/(8)intsin8xcos8xdx`
` =(1)/(16)intsin16x dx = (-1)/(256)cos16x+C`
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