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Evaluate : int"sin"^(2) " x dx "...

Evaluate : `int"sin"^(2) " x dx "`

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We know that sin 3x =3 sin x-4 `"sin"^(3) x`
`rArr " ""sin"^(3) x= ("3sin x- sin 3x)/(4) dx`
`:. int "sin"^(3)" x dx = " int (3sin x-sin 3x)/(4) dx`
`=3/4 int "sin x dx "-1/4 int " sin 3x dx "`
` =3/4 " cos x" -1/4 .1/3 (-"cos 3x") +c`
` =-3/4 " cos x" +1/(12) " cos 3x + c "`
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