Final Answer
$-\frac{32}{3}$
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Step-by-step Solution
Problem to solve:
$\int_{-2}^{2}\left(x^2-4\right)dx$
Specify the solving method
1
Expand the integral $\int_{-2}^{2}\left(x^2-4\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{-2}^{2} x^2dx+\int_{-2}^{2}-4dx$
Learn how to solve definite integrals problems step by step online.
$\int_{-2}^{2} x^2dx+\int_{-2}^{2}-4dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^2-4 from -2 to 2. Expand the integral \int_{-2}^{2}\left(x^2-4\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{16}{3}. The integral \int_{-2}^{2}-4dx results in: -16. Gather the results of all integrals.
Final Answer
$-\frac{32}{3}$
Exact Numeric Answer
$-10.6667$