## Integration by parts

1. The problem statement, all variables and given/known data
$$\int$$ln(7x+9)dx

2. Relevant equations
derivative of ln is 1/x

3. The attempt at a solution
Well im just learning IBP so i set u=7x+9 dv=lndx but im stuck there. How do you know which to make ur u is there a way or is it trial and error
Can i split the integral as:

∫ln(7x)+∫9
 PhysOrg.com science news on PhysOrg.com >> Ants and carnivorous plants conspire for mutualistic feeding>> Forecast for Titan: Wild weather could be ahead>> Researchers stitch defects into the world's thinnest semiconductor
 Recognitions: Homework Help If you're doing by parts, note that the integrand expression (ln(7x+9)) must be comprised of udv, where u*dv. So u cannot be inside the ln expression. Let u=ln(7x+9). Continue from here. In general, you should let u be an expression easy to differentiate and dv be the expression easy to integrate, and make sure that vdu is easy to integrate as well. It's some trial and error which gets better with experience.
 u=ln(7x+9) du=1/(x+9)dx dv=dx v=x using the IBP formula i get: ln(7x+9)x- (1/7)∫x*(1/x+9) dx is this right or have i made a mistake

Recognitions:
Homework Help

## Integration by parts

du is wrong.
 du=1/(x+9)*7 dx ok so my answer i got is 1/7(7x+9)(log(7x+9)1)