antiderivative of (x^5-x^3+2x)/x^4

Question

anonymous · Answer

So, in otherword, integrate to find the antiderivative. Fortunately, there is no exponent on the expression inside the brackets... so the first step to divide the equation into manageable terms would be to distribute the expression:

$${x ^{5} \over x^4} +{x^3 \over x^4} + {2x \over x^4}$$

anonymous · Answer

And we know that with exponents with a common base, multiplying them adds their powers together, and division subtracts their powers. So the above equation becomes:
$$x^1 +x^{-1} +2x^{-3}$$

anonymous · Answer

And certainly, if you're learning derivatives, the rest from here should be pretty straight forward.

anonymous · Answer

Unless you've never done anti-derivatives before.... are you clear on the next step?

anonymous · Answer

yes thanks.

anonymous · Answer

so if you could give me a start on this one that would be great... (2+x^2)/(1+x^2)