Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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Rewrite the integrand $x\left(x-2\right)\left(x+2\right)$ in expanded form
Learn how to solve definite integrals problems step by step online.
$\int_{-3}^{2}\left(x^{3}-4x\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x(x-2)(x+2) from -3 to 2. Rewrite the integrand x\left(x-2\right)\left(x+2\right) in expanded form. Expand the integral \int_{-3}^{2}\left(x^{3}-4x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-3}^{2} x^{3}dx results in: -\frac{65}{4}. The integral \int_{-3}^{2}-4xdx results in: 10.