∫ e^(x^1/2)dx 范围0到1

做变量代换t=x^(1/2) x=t^2 dx=2tdt原积分换为∫2te^tdt范围0到1=[2(t-1)e^t](t=1)-[2(t-1)e^t](t=0)=0-(-2)=2