Solving ∫(52x^7/2-66x^5/2+22^3/2)/sqrt(x) - Help Needed!

[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.

 

[arildno]

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

 

[Superposed_Cat]

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

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

 

[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}}?

 

[Superposed_Cat]

yes and thanks.