Question

How would i go about interagting (x^2+1)^3*x

Answer 1

Use a u substitution. In particular, letting \(u = x^2+1\) will work well here.

Answer 2

a question: i found a similar problem at i am confused over this step:
=\[1/5\int\limits_{}^{} u^4du\]
then it goes to:
=\[(1/5)(1/5)u^5+c\]
Where does the other 1/5 come from?

Answer 3

It comes from performing the integration..

\[\int x^a dx = \frac{x^{a+1}}{a+1} + C\]