Mathematics

$$\displaystyle \int{ \sin }^{ 4 }x \cos x dx$$


SOLUTION
$$\displaystyle \int \sin^4x\cos xdx$$
Let $$\sin x=t\implies \cos xdx=dt$$
$$\displaystyle\int t^4dt\\\dfrac{t^5}{5}+c\\\dfrac{\sin^5x}{5}+c$$
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Subjective Medium Published on 17th 09, 2020
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