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Evaluate intsin^3xdx...

Evaluate `intsin^3xdx`

Text Solution

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`intsin^(3)xdx=int((3sinx-sin3x))/(4)dx=(1)/(4)int(3sinx-sin3x)dx=(1)/(4)[3(-cosx)+(cos3x)/(3)]+C`
`=-(3)/(4)cosx+(cos3x)/(12)+C`
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