Evaluate the following
(a medal will be given to first with quality steps, don't need to show past the integration phase where you're substituting 1& 0 in for x unless you just feel like it):
$$\huge \int\limits_{0}^{1} x^2e^{-x^3} dx$$

Question

Evaluate the following
(a medal will be given to first with quality steps, don't need to show past the integration phase where you're substituting 1& 0 in for x unless you just feel like it):
$$\huge \int\limits_{0}^{1} x^2e^{-x^3} dx$$

anonymous · Answer

Should you just let u = - x^3
-> -1/3 Int e^u du

fwizbang · Answer

Let u=x^3, then du = 3x^2 dx, and the integral becomes 
 1/3 $$\int\limits_{0}^{1}  e^{-u} du$$   = 1/3.

anonymous · Answer

Wonderful, thank you both!

anonymous · Answer

:)