求不定积分x^(-3/2)*cos(x)

问题描述:

求不定积分x^(-3/2)*cos(x)
回1楼:
x的整数次方用分部积分比较好处理,-3/2次方我还是不太会

我认为: 就要敢于尝试x的-3/2次方--------原式= ∫x^(-3/2)*cos(x) dx=∫cosx d(-2* x^-1/2) = -2 * =-2*> =-2*∫sinx d(-2/3 x^(-3/2)) =4/3 *(sinx *-原式) 所以,移项可得____...