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+2x-3

Solution

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

Solution

\frac{7}{3}

+1

Decimal

2.33333 \dots

Solution steps

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

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

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

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

= \frac{7}{3} + 3 - 3

Simplify

= \frac{7}{3}

Graph

Popular Examples

integral from 0 to infinity of e^{-y/2}

\int_{0}^{\infty} e^{- \frac{y}{2}} d y

integral from 1 to 0 of 3x

\int_{1}^{0} 3 x d x

integral from 0 to 1 of (x^3-5x^2)

\int_{0}^{1} (x^{3} - 5 x^{2}) d x

integral from-1 to 0 of x/((3x+4)^3)

\int_{- 1}^{0} \frac{x}{( 3 x + 4 ) ^{3}} d x

integral from 1 to 5 of e^{x^2}

\int_{1}^{5} e^{x^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^2+2x-3 ?
The integral from 1 to 2 of x^2+2x-3 is 7/3