# Solve the Integral

Find the integral f(x) = kx(1-x)^2

where 'k' is a constant

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