Evaluate the following integral: `int_0^1x e^x^2dx`

Explanation

Given,I=`int_0^1 x e^x^2dx`

Let `x^2=t`

`dt=2xdx`

When x=0 then t=0


When x=1 then t=1

I=`1/2int_0^1 e^t dt`

=`1/2(e^1-e^0)`

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