求不定积分∫xe^(x^2)dx，希附详细步骤,谢谢！

Question

如题所述

Answer 1

∫xe^(x^2)dx=0.5∫e^(x^2)d(x^2)=0.5e^(x^2)+C
d(x^2)=2xdx
dx=1/(2x)d(x^2)

Answer 2

∫xe^(x²)dx
=∫e^(x²)d(x²/2)
=(1/2)∫e^(x²)d(x²)
=(1/2)e^(x²)+X

Answer 3

∫xe^(x^2)dx=0.5∫e^(x^2)d(x^2)=0.5e^(x^2)+C本回答被提问者采纳