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Popular >

integral from-2 to 2 of-x^2-2

Solution

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

Solution

- \frac{40}{3}

+1

Decimal

- 13.33333 \dots

Solution steps

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

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

\int_{- 2}^{2} 2 d x = 8

= - \frac{16}{3} - 8

Simplify

- \frac{16}{3} - 8 : - \frac{40}{3}

= - \frac{40}{3}

Graph

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\int_{0}^{\frac{π}{4}} x cos (x) d x

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\int_{1}^{5} \frac{8 ( ln ( x ) ) ^{3}}{x} d x

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\int_{1}^{e^{x}} \frac{x}{y} d y

integral from 0 to 1 of e^xln(x)

\int_{0}^{1} e^{x} ln (x) d x

integral from 1 to x of 2-x

\int_{1}^{x} 2 - x d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of-x^2-2 ?
The integral from-2 to 2 of-x^2-2 is -40/3