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Step-by-step Solution

Integrate $4-x^2$ from $-2$ to $2$

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Answer

$-1\left(\frac{8-8i}{3}\right)+16$

Step-by-step explanation

Problem to solve:

$\int_{-2}^{2}\left(4-x^2\right)dx$
1

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int_{-2}^{2}4dx+\int_{-2}^{2}-x^2dx$
2

The integral of a constant is equal to the constant times the integral's variable

$\left[4x\right]_{-2}^{2}+\int_{-2}^{2}-x^2dx$

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Answer

$-1\left(\frac{8-8i}{3}\right)+16$
$\int_{-2}^{2}\left(4-x^2\right)dx$

Main topic:

Definite integrals

Used formulas:

2. See formulas

Time to solve it:

~ 0.74 seconds

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