Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Rewrite the integrand $x\left(1-x\right)$ in expanded form
Learn how to solve integral calculus problems step by step online.
$\int\left(x-x^2\right)dx$
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}.