Evaluate the following integrals: `int_(-a)^a(xe^(x^2))/(1+x^2)dx`

Explanation

`I=f(x)=int_(-a)^a(xe^(x^2))/(1+x^2)dx`

so,

`f(-x)=int_(-a)^a(-xe^((-x)^2))/(1+(-x)^2)dx`

`f(-x)=-int_(-a)^a(xe^(x^2))/(1+x^2)dx`


`f(-x)=-f(x)`

So,

it is odd thus,
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