Write a value


Write a value of $\int \sin ^{3} x \cos x d x$.


let $\sin x=t$

Differentiating on both sides we get,

$\cos x d x=d t$

Substituting above equation in $\int \sin ^{3} x \cos x d x$ we get,

$=\int t^{3} d t$


$=\frac{\sin ^{4} x}{4}+c$

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