How do I calculate the indefinite integral with a square root?

Question

For example, how do I calculate the indefinite integral of the square root of x? I understand how the power rule works, but im confused by the square root.

I would appreciate any help given!

Answer 1

Well, note that: $$\sqrt{x}\equiv x^{1/2}$$ Now applying the Power Rule should work fine: $$\int x^n~dx=\frac{x^{n+1}}{n+1}+C$$ Where $n\neq -1$.

Combine these two results to evaluate your integral.