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Popular >

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

Solution

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

Solution

\frac{190}{3}

+1

Solution steps

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

\int_{- 5}^{5} x^{2} d x = \frac{250}{3}

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

= \frac{250}{3} - 20

Simplify

\frac{250}{3} - 20 : \frac{190}{3}

= \frac{190}{3}

Popular Examples

integral from 1 to x of 3/(t^3+1)

\int_{1}^{x} \frac{3}{t ^{3} + 1} d t

integral from 0 to pi/2 of 5cos^2(θ)

\int_{0}^{\frac{π}{2}} 5 cos^{2} (θ) d θ

integral from 0 to 3/2 of 1/(9-x^2)

\int_{0}^{\frac{3}{2}} \frac{1}{9 - x ^{2}} d x

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

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

integral from 1 to 16 of (x-5)/(sqrt(x))

\int_{1}^{16} \frac{x - 5}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to 5 of (x^2-2) ?
The integral from-5 to 5 of (x^2-2) is 190/3