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Popular >

integral from-2 to 3 of (x^2-4)

Solution

\int_{- 2}^{3} (x^{2} - 4) d x

Solution

- \frac{25}{3}

+1

Decimal Notation

- 8.33333 \dots

Solution steps

\int_{- 2}^{3} x^{2} - 4 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} 4 d x

\int_{- 2}^{3} x^{2} d x = \frac{35}{3}

\int_{- 2}^{3} 4 d x = 20

= \frac{35}{3} - 20

Simplify

\frac{35}{3} - 20 : - \frac{25}{3}

= - \frac{25}{3}

Popular Examples

integral of (2x)/(x^2+6x+13)

\int \frac{2 x}{x ^{2} + 6 x + 13} d x

sum from n=1 to infinity of 1/2 n

n = 1 \sum \infty \frac{1}{2} n

integral of sin(7x)cos(5x)

\int sin (7 x) cos (5 x) d x

limit as h approaches 0 of (3e^h-3)/h

h \to 0 lim (\frac{3 e ^{h} - 3}{h})

integral from-infinity to 0 of x/(x^4+4)

\int_{- \infty}^{0} \frac{x}{x ^{4} + 4} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (x^2-4) ?
The integral from-2 to 3 of (x^2-4) is -25/3