# Simple integral

1. Oct 19, 2013

### Superposed_Cat

Hi all, I am attempting to learn calculus in my spare time. Very short question. What rule do you use to solve ∫(52x^7/2-66x^5/2+22^3/2)/sqrt(x)? Could you please walk me through it. sorry I didn't use LaTex, I don't know it.

2. Oct 19, 2013

### arildno

Split up the fraction, and simplify the powers of x first.

3. Oct 19, 2013

### Superposed_Cat

what do you mean? I'm a total noob. How would I go about doing that?

Last edited: Oct 19, 2013
4. Oct 19, 2013

### arildno

If you have a fraction (a+b+c)/d, you may write it as a/d+b/d+c/d

Also, remember that $\sqrt{x}=x^{\frac{1}{2}}$

A question:
You have a term in your numerator, 22^3/2.
Should that have been: $22x^{\frac{3}{2}}$?

5. Oct 19, 2013

### Superposed_Cat

yes and thanks.

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