anonymous
  • anonymous
Find the most general antiderivative of the function. Use C for any needed constant. f(x) = x(2 - x)^2
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I would multiply it out first; then it's simply addition of anti-derivatives.
anonymous
  • anonymous
\[x(2-x)^{2} = x(4-4x+x^2) = 4x - 4x^2 + x^3\]
anonymous
  • anonymous
o so its 2x^2=4/3x^3+1/4x^4

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anonymous
  • anonymous
sorry (-) not =
amistre64
  • amistre64
yep; expand it, distribute it, then integrate is and add a C
anonymous
  • anonymous
o ya forgot about taht
anonymous
  • anonymous
thank u
anonymous
  • anonymous
yup yu got it
amistre64
  • amistre64
:)

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