Question

integration x³ex²DX
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Answer 1

Answer:

=ex²(x³+3x²)

Step-by-step explanation:

we are using u.v for solving this

x³ ex² dx

u= x³

v= ex²

So the formula for uv is :

u.d/dx(v) +v. d/dx(u)

=x³. d/dx(ex²)+ex².d/dx(x³)

=x³.ex²+ ex².3x²

{ d/dx of x³ is 3x²}

{d/dx of ex² is ex² because its constant}

now we take common ex²,

=ex²(x³+3x²)

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