Question Number 5421 by love math last updated on 14/May/16
$$\int_{\mathrm{0}} ^{\mathrm{2}} \:{xe}^{{x}^{\mathrm{2}} } {dx} \\ $$
Answered by nchejane last updated on 14/May/16
![=[(1/2)e^x^2 ]_0 ^2 =(1/2)(e^4 −1)](https://www.tinkutara.com/question/Q5430.png)
$$=\left[\frac{\mathrm{1}}{\mathrm{2}}{e}^{{x}^{\mathrm{2}} } \right]_{\mathrm{0}} ^{\mathrm{2}} =\frac{\mathrm{1}}{\mathrm{2}}\left({e}^{\mathrm{4}} −\mathrm{1}\right) \\ $$