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    Solve the Integral

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    Find the integral f(x) = kx(1-x)^2
    where 'k' is a constant

    © BrainMass Inc. brainmass.com February 24, 2021, 2:38 pm ad1c9bdddf
    https://brainmass.com/math/integrals/solve-integral-function-33602

    Solution Preview

    1st method (if you want the answer in expanded form)
    integral [f(x).dx]
    = integral [kx(1-x)^2.dx]
    = integral [kx (1 + x^2 - 2x).dx]
    = integral [ (kx + kx^3 - 2kx^2)dx]
    = kx^2/2 + kx^4/4 - 2kx^3/3 + c
    = kx^2/2 - ...

    Solution Summary

    An Integral is solved.

    $2.19

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