Posted by **I Need Help** on Thursday, April 26, 2012 at 3:32pm.

find the antiderivative of f(x) = x^3(x-2)^2

Someone help me please!

- Anti-Derivatives -
**Reiny**, Thursday, April 26, 2012 at 3:42pm
rather than resorting to some formula method, I would expand the whole thing, and then integrate each of the simple terms.

- Anti-Derivatives -
**I Need Help**, Thursday, April 26, 2012 at 3:50pm
Would I square (x-2) first and then multiply it by x cubed, or x cubed multiplied by (x-2) and then square the answer? Order of operations is parenthesis, exponents, multiplication and division (left to right), and then addition and subtraction ( left to right), isn't it?

- Anti-Derivatives -
**Reiny**, Thursday, April 26, 2012 at 4:01pm
you would square x-2 first, the squaring does not include the x^3, or else the whole thing would have been in brackets, should have had...

x^3(x^2 - 4x+4)

= x^5 - 4x^4 + 4x^2

now integrate that

- Anti-Derivatives -
**I Need Help**, Thursday, April 26, 2012 at 4:27pm
Integrate? Meaning?

## Answer this Question

## Related Questions

- Math-Derivitives - if f(x)=x^3+5x, then f'(2)= if f(x)=cos(2x), then f'(pi/4) ...
- Anti-ln?!?! - use a calculator to find the anti-ln(-0.049) to the nearest ten ...
- calculus - antiderivative - can someone help me find the antiderivative of: f'(x...
- Calculus - Anti-Derivatives - How would you find the Integral of (cos(x\8))^3, ...
- Antiderivative - What is the antiderivative of e^2x? I know the antiderivative ...
- Calculus: Derivatives - I'm having trouble understanding what derivatives in ...
- Integrating quadratics? - find the antiderivative of f(x) = x^3(x-2)^2 I ...
- Calculas - Can someone please walk me through the steps for the following ...
- calculus - Find a function f such that the curve y = f(x) satisfies y'' = 12x, ...
- calculus quick question - g(x)= sqrt(1-4x^2) Can someone help me find the first ...

More Related Questions