# Thread: Integrating terms with powers of x.

1. ## Integrating terms with powers of x.

$\int (x^{1/3}-3x^{-2/3}+6) dx$
= $x^{4/3}-3(x^{1/3})+6x+C$
is this correct?

2. What in the world are you going on about in this series of posting?
It appears that you have no idea as to what anti-differentiation is all about.
DO YOU? I doubt that you understand any of this.

If $n\ne -1$ then $\int {x^n = \frac{1}{{n + 1}}x^{n + 1} }$

3. ## In the process of learning

so it would make it:
$\int \frac{3}{4} x^{4/3}-9x^{1/3}+6x+C$

4. Originally Posted by Minino777
so it would make it:
$\int \frac{3}{4} x^{4/3}-9x^{1/3}+6x+C$
That is up to you to find out.
Find the derivative of that answer. Is it the same as what you had first?