integral question

integral question

Hello hippie!

$\int_{0}^{\infty} x^{3} e^{-x^4} dx\ |\ [https://www.integralrechner.de/]\\ = |-\dfrac{e^{-x^4}}{4}\ |_0^\infty =-\dfrac{e^{-\infty^4}}{4}-(-\dfrac{e^{-0^4}}{4})=0-(-\dfrac{1}{4})$ 

$\color{blue}\int_{0}^{\infty} x^{3} e^{-x^4} dx=\dfrac{1}{4}$

  !