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Popular >

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

Solution

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

Solution

- \frac{44}{3}

+1

Solution steps

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

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

\int_{- 2}^{2} 5 d x = 20

= \frac{16}{3} - 20

Simplify

\frac{16}{3} - 20 : - \frac{44}{3}

= - \frac{44}{3}

Popular Examples

integral from 1 to 0 of xln(x)

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

integral from-1 to 1 of z

\int_{- 1}^{1} z d z

integral from 5 to 20 of x^{3/2}

\int_{5}^{20} x^{\frac{3}{2}} d x

integral from 0 to 1 of 6xy

\int_{0}^{1} 6 x y d x

integral from 0 to 5 of x/(x^2+4)

\int_{0}^{5} \frac{x}{x ^{2} + 4} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (x^2-5) ?
The integral from-2 to 2 of (x^2-5) is -44/3