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

$\begingroup$

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!

$\endgroup$ 4

1 Answer

$\begingroup$

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.

$\endgroup$

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password

Post as a guest

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

You Might Also Like