en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 2 of x^2-3

Solution

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

Solution

- \frac{2}{3}

+1

Decimal Notation

- 0.66666 \dots

Solution steps

\int_{1}^{2} 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_{1}^{2} x^{2} d x - \int_{1}^{2} 3 d x

\int_{1}^{2} x^{2} d x = \frac{7}{3}

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

= \frac{7}{3} - 3

Simplify

\frac{7}{3} - 3 : - \frac{2}{3}

= - \frac{2}{3}

Popular Examples

integral from 2 to 5 of 2x-3

\int_{2}^{5} 2 x - 3 d x

integral from 0 to 10 of 8000e^{-0.005t}

\int_{0}^{10} 8000 e^{- 0.005 t} d t

integral from 1 to e^3 of 5/x

\int_{1}^{e^{3}} \frac{5}{x} d x

integral from 0 to 1 of x^5*e^{-x}

\int_{0}^{1} x^{5} \cdot e^{- x} d x

integral from-2 to 2 of 1/(2x+1)

\int_{- 2}^{2} \frac{1}{2 x + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^2-3 ?
The integral from 1 to 2 of x^2-3 is -2/3