进行代数恒等变形,拆开后即可求出结果。
u+1=(1/2)(2u+5) -3/2∫(u+1)/(-2u-5) du=-∫(u+1)/(2u+5) du=-(1/2)∫ [1 - 3/(2u+5) ] du=-(1/2)[ u - (3/2)ln|2u+5| ] +C