# Math Help - Indefinite Integral

1. ## Indefinite Integral

Just bummed on this question here.. :

∫(pi/ax+b)dx

Thanks so much!

Step by step teaching if possible.. Thank you so much. I want to learn!

2. Originally Posted by gearshifter
Just bummed on this question here.. :

∫(pi/ax+b)dx

Thanks so much!

Step by step teaching if possible.. Thank you so much. I want to learn!
Dear gearshifter,

$\int{\frac{\pi}{ax+b}} dx$

Since you could take constants out of the integration sign,

$\int{\frac{\pi}{ax+b}} dx=\pi\int{\frac{1}{ax+b}} dx$

Therefore, $\int{\frac{\pi}{ax+b}} dx =\pi\int{\frac{1}{ax+b}} dx=\frac{\pi\ln(ax+b)}{a}+C$ ; Where C is an arbitary constant.