Question

How to integrate (x+3)/sqrt(x)?

Answer 1

Have you tried breaking it up into two separate fractions (x/sqrt(x) + 3/sqrt(x)) and integrating each term individually?

Answer 2

I believe if we change sqrt(x) into its exponent representation x^(1/2), we have the opportunity of using power rule on each separate term's integral.
x/sqrt(x) = x/(x^1/2) = x^(1-1/2) = x^(1/2)

Answer 3

Okay. Wow. I was completely overthinking it. Thanks for your help!

Answer 4

You're welcome! :)