Answer
$\frac{1.718}{2}$
Work Step by Step
$y$$=$$e$$^x$ is the top function
$y=xe^{(x^2)}$ is the bottom function
they meet at x = 0 and x = 1
so the equation to solve is:
$\int$$e^xdx-$$\int$$xe^{(x^2)}$ evaluated from 0 to 1
evaluate first integral, use U substitution for second integral where $u=x^2$ and $du=2x$
$e$$^x$ $-$ $1/2$$\int$$e$$^u$$du$ evaluated from 0 to 1
$(e^1-e^0)-1/2(e^1-e^0)$
$1/2(e^1)$
plug in $e^1$
$\frac{1.718}{2}$