求定积分∫上1下0xe^xdx的值

题目

求定积分∫上1下0xe^xdx的值

答案

补充楼上
∫[0,1]xe^xdx
=∫[0,1]xde^x
=xe^x|[0,1] -∫[0,1]e^xdx
=xe^x[0,1]-e^x|[0,1]
=e-(e-1)
=1