# Given the integral. What’s the relation between \$I_{n+1}(t)\$ and \$I_n(t)\$?

$$I_n=int_0^tfrac{1}{left(x^5+1right)^n}dx.$$

What is the relation between $$I_{n+1}(t)$$ and $$I_n(t)$$?

Can it be done with integration by parts?