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Rewrite the integrand $x\left(1-x\right)$ in expanded form
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$\int\left(x-x^2\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(x(1-x))dx. Rewrite the integrand x\left(1-x\right) in expanded form. Expand the integral \int\left(x-x^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdx results in: \frac{1}{2}x^2. The integral \int-x^2dx results in: \frac{-x^{3}}{3}.