InterviewSolution
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InterviewSolution
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`int sin^(3)x cos^(3)x dx ` is equal toA. `(1)/(32)[-(3)/(2)cos 2x+(1)/(6)cos 6x]+C`B. `(1)/(16)[-(3)/(2)cos 2x+(1)/(6)cos 6x]+C`C. `(1)/(64)[-(3)/(2)cos 2x +(1)/(6)cos 6x]+C`D. None of the above |
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Answer» Correct Answer - A `intsin^(3)x cos^(3)x dx=(1)/(8)int(2sin x cosx)^(3)dx` `=(1)/(8)intsin^(3)2xdx` `=(1)/(8)int(3sin2x-sin6x)/(4)dx` `=(1)/(32)int(3sin2x-sin6x)dx` `=(1)/(32)[-(3)/(2)cos2x+(1)/(6)cos 6x]+C` |
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