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Popular >

integral from-2 to 2 of (x^2+2x)

Solution

\int_{- 2}^{2} (x^{2} + 2 x) d x

Solution

\frac{16}{3}

+1

Decimal

5.33333 \dots

Solution steps

\int_{- 2}^{2} x^{2} + 2 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 2}^{2} x^{2} d x + \int_{- 2}^{2} 2 x d x

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

\int_{- 2}^{2} 2 x d x = 0

= \frac{16}{3} + 0

Simplify

= \frac{16}{3}

Graph

Popular Examples

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\int_{1}^{3} \frac{1}{x - 1} d x

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\int_{- 5}^{c o s (x)} \frac{1}{t ^{2} - 1} d t

integral from-2 to 2 of (|x|+x)e^{|x|}

\int_{- 2}^{2} (∣ x ∣ + x) e^{∣ x ∣} d x

integral from 1 to 4 of x^{-3}

\int_{1}^{4} x^{- 3} d x

integral from 7 to 8 of (3/(x^2)-1)

\int_{7}^{8} (\frac{3}{x ^{2}} - 1) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (x^2+2x) ?
The integral from-2 to 2 of (x^2+2x) is 16/3