求积分∫xsin(x⼀2)dx

2024-11-26 12:54:08
推荐回答(1个)
回答1:

答:
令a=x/2,x=2a
∫ xsin(x/2) dx
=∫ 2asinad(2a)
=4∫ asina da 分步伏消积分法缺银知
=- 4∫搏郑 ad(cosa)
=-4 acosa+4∫ cosa da
=-4acosa+4sina+C
=-2xcos(x/2)+4sin(x/2)+C