I am having a problem using the integral test for convergence and divergence

I am having a problem using the integral test for convergence and divergence?
1/n^2 +4 and 1/n+4
N=1 and approaching infinity
These may be simple but I am a little rusty on my integrals.
At first I thought of using u-substitution but I then realized that it wouldnt work in this setup.
Can someone please show me how to set this up? I dont want an answer but a step by step
Thanks

1/n^2 + 4 <- integrate

= n^-2 + 4

= -1n^-1 + 4n

= -1/n + 4n [from 1 - inf.]

= 0 + inf. + 1 - 4

= inf.


1/n + 4 <- integrate

= ln(n) + 4n [1 - inf.]

= inf. + inf - 0 - 4

= inf.

Both diverge