How Do You Integrate \(\int \frac{u}{5u+11} \, du\) Using Substitution?

[kring_c14]

integral calculus--pls integrate

Homework Statement

how do you integrate this one?what method do I have to use?
$$\int\left\left[(u/\left(5u+11\right)\right]$$

 

[HallsofIvy]

Can I assume that you really mean
$\int\left\left[(u/\left(5u+11\right)\right]du$?
Integrals don't make much sense without the differential! (And I want to be certain that you mean u as the variable of integration!)

Have you considered the substitution x= 5u+ 11? (And having that "du" in the original integral will remind you that you need to use du= dx/5.) That will make the denominator very easy! Of course, u= (x-11)/5 but that's in the numerator and is no problem.