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Popular >

integral from 2 to 3 of x^2-2

Solution

\int_{2}^{3} x^{2} - 2 d x

Solution

\frac{13}{3}

+1

Decimal

4.33333 \dots

Solution steps

\int_{2}^{3} 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}^{3} x^{2} d x - \int_{2}^{3} 2 d x

\int_{2}^{3} x^{2} d x = \frac{19}{3}

\int_{2}^{3} 2 d x = 2

= \frac{19}{3} - 2

Simplify

\frac{19}{3} - 2 : \frac{13}{3}

= \frac{13}{3}

Graph

Popular Examples

integral from-1 to 2 of (2x^2-2x-4)

\int_{- 1}^{2} (2 x^{2} - 2 x - 4) d x

integral from 0 to 2 of (12)/(x^2-4)

\int_{0}^{2} \frac{12}{x ^{2} - 4} d x

integral from 1 to infinity of xe^{x^2}

\int_{1}^{\infty} x e^{x^{2}} d x

integral from 2 to 3 of (2+2x)^2

\int_{2}^{3} (2 + 2 x)^{2} d x

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

\int_{1}^{2} (1 + x^{3}) d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of x^2-2 ?
The integral from 2 to 3 of x^2-2 is 13/3