Final answer to the problem
$\frac{40}{3}$
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Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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1
Expand the integral $\int_{-2}^{2}\left(x^2+2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals of polynomial functions problems step by step online.
$\int_{-2}^{2} x^2dx+\int_{-2}^{2}2dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the function x^2+2 from -2 to 2. Expand the integral \int_{-2}^{2}\left(x^2+2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-2}^{2} x^2dx results in: \frac{8}{3}+\frac{8}{3}. Gather the results of all integrals. Combine fractions with common denominator 3.
Final answer to the problem
$\frac{40}{3}$
Exact Numeric Answer
$13.333333$
