1. ## Easy Integral

I can't remember how to do these stupid integrals... The one im stuck on is
x-x^2. It seems like it should be easy but im not getting anywhere.

2. $\int x-x^2 = \frac{x^2}{2} - \frac{x^3}{3}$

You add 1 to the exponents and then divide that term by the new raised power

3. Originally Posted by RockHard
$\int x-x^2 = \frac{x^2}{2} - \frac{x^3}{3}$

You add 1 to the exponents and then divide that term by the new raised power
I forgot you could split them up. Thanks.

4. Originally Posted by RockHard
$\int x-x^2 = \frac{x^2}{2} - \frac{x^3}{3}$

You add 1 to the exponents and then divide that term by the new raised power
Good, but be careful with your notation! It should be $\int (x-x^2)dx$, not just $\int x-x^2$ which has no meaning. The $dx$ is there for a reason! It might seem unnecessary when you begin calculus but later on you'll have a lot of trouble keeping up if you're not careful with notation.

5. Originally Posted by Bruno J.
Good, but be careful with your notation! It should be $\int (x-x^2)dx$, not just $\int x-x^2$ which has no meaning. The $dx$ is there for a reason! It might seem unnecessary when you begin calculus but later on you'll have a lot of trouble keeping up if you're not careful with notation.
Who knows, maybe he could have been wanting to compute $\int_0^1\left(x-x^2\right)d\sin(x)$ :O