1. ## Quick Antiderivative Help Please

Hey, I just ran into a problem on an assignment that requires take the antiderivative of x/(1+x^3), and I don't know how to do it (that's "x" over "one plus x-cubed").

Any help is appreciated.

edit: I also ran into this one: Find the differential equation for this family of curves: y = x*sin(x+c)

2. Originally Posted by primasapere
Hey, I just ran into a problem on an assignment that requires take the antiderivative of x/(1+x^3), and I don't know how to do it (that's "x" over "one plus x-cubed").

Any help is appreciated.
The quotient rule,
$\frac{(x)'(1+x^3)-(x)(1+x^3)'}{(1+x^3)^2}$
Simplify it.

3. That's the quotient rule for derivatives, but I need to take the antiderivative. I don't think I can apply what you wrote in a way I understand with this problem.