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