# Please show the integration of #(x^3)/((x^4+7)^8)dx# step by step?

##### 1 Answer

May 23, 2018

We have

#I = int x^3/(x^4 + 7)^8 dx#

Let

#I = int x^3/u^8 * (du)/(4x^3)#

#I = 1/4int u^-8 du#

#I = 1/4(-1/7u^-7) + C#

#I = -1/28(x^4 + 7)^-7 +C#

Hopefully this helps!