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Popular >

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

Solution

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

Solution

- \frac{4}{3}

+1

Decimal Notation

- 1.33333 \dots

Solution steps

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

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

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

= \frac{8}{3} - 4

Simplify

\frac{8}{3} - 4 : - \frac{4}{3}

= - \frac{4}{3}

Popular Examples

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

\int_{1}^{2} \frac{3}{2 x ^{3}} d x

integral from 0 to x^2 of 3sin(x)

\int_{0}^{x^{2}} 3 sin (x) d x

integral from 0 to pi/2 of 2sin(x)

\int_{0}^{\frac{π}{2}} 2 sin (x) d x

integral from-infinity to-1 of e^x

\int_{- \infty}^{- 1} e^{x} d x

integral from y to 2 of t^3sin(t)

\int_{y}^{2} t^{3} sin (t) d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^2-2) ?
The integral from 0 to 2 of (x^2-2) is -4/3