Solve the differential equation: `(dy)/(dx)=sin^3xcos^2x+x e^x`

Explanation

It is given that,

`y=\int(\sin ^{3} x \cos ^{2} x+x e^{x}) d x `

`int \cos ^{2} x(1-\cos ^{2} x) \sin x d x+\int x e^{x} d x`


Taking `cosx` as `t` we have,

`cos x=t`

`sin x d x=d t`


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