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July 31, 2015

Homework Help: Calculus - Urgent!!!

Posted by In Need Of Help! on Thursday, April 26, 2012 at 5:18pm.

In case this looks familiar, yes, it is a repost. I really need help.

Find the anti-derivitive of
f(x)= x^3(x-2)^2.

Multiple choice gives me the options:
A: 1/6 x^6 - 4/5 X^5 + x^4 + C
B: 1/6 x^6 - 4/5 X^5 + 1/4 x^4 + C
C: x^6 - X^5 + x^4 + C
D: x^5 - 4x^4 + 4x^3 + C

I got as far as factoring the original equation into x^5 - 4x^4 + 4x^2. I was told I need to integrate the function. I'm not sure how to do that. My book is NOT clear or helpful, and hasn't been for this whole calculus course.

Please help me understand how my equation can possibly be one of the equations in the A-B-C-D options.

Thank you and God bless you for taking the time to read this, let alone help!

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