# How do you integrate #dx / (2sqrt(x) + 2x#?

##### 1 Answer

Think about integration techniques, think about derivatives, think about fractions and factoring and . . .

There are "obvious" common factors in the denominator.

What do I know about

I could factor out

Try it and see. (Yes, I can try it in my head. Students will need to try it on paper.)

Did that help?

Not sure? write it as a product of 2 fracions where one fraction is the derivative of

Now, what if I let

Then