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Step-by-step Solution

Integrate $x^3+2$ from $-1$ to $1$

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Answer

$2$

Step-by-step explanation

Problem to solve:

$\int_{-1}^{1}\left(x^3+2\right)dx$
1

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

$\int_{-1}^{1} x^3dx+\int_{-1}^{1}2dx$
2

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

$\int_{-1}^{1} x^3dx+\left[2x\right]_{-1}^{1}$

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Answer

$2$
$\int_{-1}^{1}\left(x^3+2\right)dx$

Main topic:

Definite integrals

Used formulas:

2. See formulas

Time to solve it:

~ 0.7 seconds