I am having trouble with these 2 problems.

Evaluate: (1/x^9)dx

Evaluate: (5x^5-4x^3+6x)dx

1st:

I will assume you meant ∫1/x^9 dx
which is ∫x^-9 dx
= (-1/10)x^-10 + c
= -1/(10x^10) + c

2nd:
This one is about as easy as it gets.
Surely you can handle this one.