大一高数定积分?

求第5题详解!
2025-03-22 04:38:53
推荐回答(1个)
回答1:

n∫(0->1) xf'(2x) dx =∫(0->2) xf'(x) dx
let
x=2u
dx = 2du
x=0, u=0
x=2, u=1
∫(0->2) xf'(x) dx
=∫(0->1) 2u .f'(2u) (2du)
=4∫(0->1) u .f'(2u) du
=4∫(0->1) x .f'(2x) dx
=>
n=4