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Popular >

integral from 0 to 2 of (x^2-5)

Solution

\int_{0}^{2} (x^{2} - 5) d x

Solution

- \frac{22}{3}

+1

Decimal Notation

- 7.33333 \dots

Solution steps

\int_{0}^{2} x^{2} - 5 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_{0}^{2} x^{2} d x - \int_{0}^{2} 5 d x

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 5 d x = 10

= \frac{8}{3} - 10

Simplify

\frac{8}{3} - 10 : - \frac{22}{3}

= - \frac{22}{3}

Popular Examples

integral from e to 2e of ln(x)

\int_{e}^{2 e} ln (x) d x

integral from 0 to 3 of (x^2)/(x^3+9)

\int_{0}^{3} \frac{x ^{2}}{x ^{3} + 9} d x

integral from 0 to x of (x-y)

\int_{0}^{x} (x - y) d y

integral from 0 to x of (x^2)/9

\int_{0}^{x} \frac{x ^{2}}{9} d x

integral from 1 to e of 9/x

\int_{1}^{e} \frac{9}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^2-5) ?
The integral from 0 to 2 of (x^2-5) is -22/3