Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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The integral of a constant times a function is equal to the constant multiplied by the integral of the function
Learn how to solve definite integrals problems step by step online.
$+x\int_{0}^{2}\left(4-x^2\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function +x(4-x^2) from 0 to 2. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Expand the integral \int_{0}^{2}\left(4-x^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the product +x\left(\int_{0}^{2}4dx+\int_{0}^{2}-x^2dx\right). The integral +x\int_{0}^{2}4dx results in: +x\cdot 8.