Question

please help me
integration​

Answer 1

\int\limit

$\int\limits {x}^{2} {e}^{ { \frac{x}{2} }^{2} } dx \\ let \: \frac{ {x}^{2} }{2} = t$

$diffrenciating \: with \: \\ respect \: to \: t \\ dx = t \\ \\ \int\limits2t {e}^{t} dt \\2\int\limits(1+t)e^tdt - 2\int\limits dt\\2e^t(1+t) - t +c\\2e^\frac{ {x}^{2} }{2} (1+\frac{ {x}^{2} }{2} ) - \frac{ {x}^{2} }{2} + c$