en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

- \frac{10}{3}

+1

Decimal Notation

- 3.33333 \dots

Solution steps

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

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

\int_{- 2}^{3} 3 d x = 15

= \frac{35}{3} - 15

Simplify

\frac{35}{3} - 15 : - \frac{10}{3}

= - \frac{10}{3}

Popular Examples

derivative of sin(x+2y)

\frac{d}{d x} (sin (x + 2 y))

y^{^{'}} = 2 y

derivative of 1/(x^2+2)

\frac{d}{d x} (\frac{1}{x ^{2} + 2})

derivative of (7e^x+5e^{-x})/8 derivative of

\frac{7 e ^{x} + 5 e ^{- x}}{8}

area 6x^2,x^2+12 area

6 x^{2}, x^{2} + 12

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (x^2-3) ?
The integral from-2 to 3 of (x^2-3) is -10/3