en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 2 of-x^2+2x+3

Solution

\int_{0}^{2} - x^{2} + 2 x + 3 d x

Solution

\frac{22}{3}

+1

Decimal Notation

7.33333 \dots

Solution steps

\int_{0}^{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_{0}^{2} x^{2} d x + \int_{0}^{2} 2 x d x + \int_{0}^{2} 3 d x

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 2 x d x = 4

\int_{0}^{2} 3 d x = 6

= - \frac{8}{3} + 4 + 6

Simplify

- \frac{8}{3} + 4 + 6 : \frac{22}{3}

= \frac{22}{3}

Popular Examples

integral from 1 to 2 of (3(ln(x))^2)/x

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

integral from 0 to 1 of 6x-6x^2

\int_{0}^{1} 6 x - 6 x^{2} d x

integral from 0 to 2 of cos(pix)

\int_{0}^{2} cos (π x) d x

integral from 1 to 11 of (2ln(x))/x

\int_{1}^{11} \frac{2 ln ( x )}{x} d x

integral from 0 to 1 of xsqrt(4x^2+1)

\int_{0}^{1} x 4 x^{2} + 1 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of-x^2+2x+3 ?
The integral from 0 to 2 of-x^2+2x+3 is 22/3