Do you know any good resources for learning algebra? I'm sure if I revised for a week I'd stop making (as many) silly mistakes.]]>

A good way to rewrite it is:

4^1 * x^5

So 3 / (4^1 * x^5) = 3*4^-1 * x^-5. Of course, this is just (3/4) x^-5.

Edit: Oh, and my point in my first post was that you should just take the fraction out before you integrate, then multiply. I forgot to say that though.

]]>∫(12x^-5)dx = (12x^-4)/-4 + c = -12/4x^4 + c = -3x^4 + c

Is this a case of bad algebra or am I taking a wrong step in my integration?

]]>sorry that my formatting is pretty c r a p p y

I think it should be

∫(2x^2 - x/2)dx = ...]]>

∫2x^2 - ∫x/2

2∫x^2 - 1/2 ∫ x

2/3 x^3 - 1/4x^2 + C

]]>y = (2x^3)/3 - (x^2)/2(2) + C = (2x^3)/3 - (x^2)/4 + C]]>

∫dy/dx = ∫2x^2 - x/2

y = (2x^3)/3 - ((x^2)/2) / 2x

**edit - forgot the + c*

integrate the function 2x^2 - x/2

The first part would bt (2x^3)/3 but I am unsure of how to integrate the fraction.

*notices the bottom of the screen*** cool update **