# Math Help - Antidifferentiation?

1. ## Antidifferentiation?

How does one solve this: [(500/(x+10)) -10]dx

I'm guessing this involves antidifferentiation, but I cannot figure out how to apply that to the -10. Perhaps -10x + 500ln (x+10)?

Is there some rule I'm missing here?

Thank you.

2. Originally Posted by Quixotic
How does one solve this: [(500/(x+10)) -10]dx

I'm guessing this involves antidifferentiation, but I cannot figure out how to apply that to the -10. Perhaps -10x + 500ln (x+10)?

Is there some rule I'm missing here?

Thank you.
$\int\left(\frac{500}{x+10}-10\right)dx=500\int\frac{1}{x+10}dx-\int10dx$