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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?

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