高数问题求解,谢谢

求解答过程,谢谢
2025-02-27 12:38:12
推荐回答(2个)
回答1:

∫(0->2) [ π^2 -y.e^y ] dy
=π^2 .[x]| (0->2) - ∫(0->2) y de^y
=2π^2 - [y.e^y]|(0->2) + ∫(0->2) e^y dy
=2π^2 - 2e^2 + [e^y]|(0->2)
=2π^2 - 2e^2 + e^2 - 1
=2π^2 - e^2 - 1

回答2:

∫<0,x>(x^x-ye^y)dy
=[x^x*y-(y-1)e^y]|<0,x>
=x^(x+1)-(x-1)e^x+1.