Anti-Derivatives

posted by .

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

Someone help me please!

  • Anti-Derivatives -

    rather than resorting to some formula method, I would expand the whole thing, and then integrate each of the simple terms.

  • Anti-Derivatives -

    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 -

    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 -

    Integrate? Meaning?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Antiderivative

    What is the antiderivative of e^2x? I know the antiderivative of e^x is e^x. Would e^2x's antiderivative still be e^2x?
  2. Calculus: Derivatives

    I'm having trouble understanding what derivatives in calculus (instantaneous speed) is. Can someone please explain it to me, or provide some easy links to learn from?
  3. Calculus - Anti-Derivatives

    How would you find the Integral of (cos(x\8))^3, defined from -(4 x pi)/3) to (4 x pi)/3)
  4. Calculas

    Can someone please walk me through the steps for the following Partial derivatives problems: f(x,y) = x^7 - 8y - 3, find x and y f(x,y) = 7 / 5x+4y, find x and y
  5. calculus - antiderivative

    can someone help me find the antiderivative of: f'(x) = (x^2-1)/x where f(1)=1/2, and f(-1) = 0 Thanks!
  6. Math-Derivitives

    if f(x)=x^3+5x, then f'(2)= if f(x)=cos(2x), then f'(pi/4) derivatives and anti derivatives please help
  7. Anti-ln?!?!

    use a calculator to find the anti-ln(-0.049) to the nearest ten thousandth. My calculator doesn't do anti-ln. just ln. Someone helo me please?
  8. Integrating quadratics?

    find the antiderivative of f(x) = x^3(x-2)^2 I factored this out and got x^5-4x^4+4x^2 I'm supposed to integrate this. I don't know how. Someone help me please?
  9. calculus

    Find a function f such that the curve y = f(x) satisfies y'' = 12x, passes through the point (0,1), and has a horizontal tangent there. I can use the anti-derivatives to get y = 2x^3 + Cx + D but I don't know how to get C even though …
  10. calculus

    Anti-Derivatives 2x^6-x^3/x^2

More Similar Questions