Personally the best way to practice integrating in my opinion is all-variable expressions such as $\displaystyle \int\ln|a+bx|dx$....do this as you normally would it gives you a great concept of how to work these...the above statement is worked out below

To evaluate this integral $\displaystyle \int\ln|a+bx|dx$ the preferred method is Integration by parts(discussed earlier in the thread)

so to start we define our individual parts

$\displaystyle u=ln|a+bx|$

$\displaystyle dv=dx$

$\displaystyle du=\frac{b}{a+bx}dx$

$\displaystyle v=x$

therefore using the appropriate formula we get

$\displaystyle \int\ln(a+bx)dx=x\cdot\ln|a+bx|-\int\frac{bx}{a+bx}$...

now to evaluate the second integral we utilize the above technique to rewerite the second integral as $\displaystyle \int\frac{bx+a-a}{a+bx}dx=\int\frac{bx+a}{bx+a}dx-\int\frac{a}{a+bx}dx$...

which with some constant manipulation $\displaystyle x+\frac{a}{b}ln|a+bx|+c$

so combinging we get

$\displaystyle \int\ln|a+bx|dx=x\cdot\ln|a+bx|-(x-\frac{a}{b}\ln|a+bx|)+C=x\cdot\ln|a+bx|-x+\frac{a}{b}\ln|a+bx|+C$