Question: "Evaluate the integrals: ∫xex2dx"

foass77W

Answered question

2021-10-11

Evaluate the integrals:

\int x e^{x^{2}} d x

okomgcae

Skilled2021-10-12Added 93 answers

I = \int x e^{x^{2}} d x

Let

x^{2} = t

2 x d x = d t

x d x = \frac{d t}{2}

I = \int e^{t} \frac{d t}{2}

I = \frac{1}{2} \int e^{t} d t

I = \frac{1}{2} e^{t} + C

I = \frac{1}{2} e^{x^{2}} + C

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