Calc 1 Antiderivative Practice: Solving Complex Integrals for Final Exam

[frumdogg]

Homework Statement

Hi everyone. My Calc 1 final exam is tomorrow and due to some weather related issues we were not able to cover all material for this quarter. With that said, my professor gave us a take home quiz on material that was unable to be covered. I have done by best, but I am getting hung up on an antiderivative problem.

Find the general antiderivative of:


f'(x) = 1-2x-4/\sqrt{x}+5/x-8/(1+x^2)+9/x^4

Homework Equations

Now due to having virtually no time to learn about antiderivatives (we lost a whole week due to a blizzard and instructor illness) I am really unsure where to go. Do I need to rewrite the problem on one line and then find the opposite of the derivative?

Thanks!

 

[Snazzy]

Now due to having virtually no time to learn about antiderivatives (we lost a whole week due to a blizzard and instructor illness) I am really unsure where to go. Do I need to rewrite the problem on one line and then find the opposite of the derivative?

Thanks!

You take the integral of f'(x) to find the antiderivative. It will be in the form f(x) + C where f(x) is the antiderivative of f'(x).