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 1 of x^2-2x+5

Solution

\int_{0}^{1} x^{2} - 2 x + 5 d x

Solution

\frac{13}{3}

+1

Decimal

4.33333 \dots

Solution steps

\int_{0}^{1} x^{2} - 2 x + 5 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}^{1} x^{2} d x - \int_{0}^{1} 2 x d x + \int_{0}^{1} 5 d x

\int_{0}^{1} x^{2} d x = \frac{1}{3}

\int_{0}^{1} 2 x d x = 1

\int_{0}^{1} 5 d x = 5

= \frac{1}{3} - 1 + 5

Simplify

\frac{1}{3} - 1 + 5 : \frac{13}{3}

= \frac{13}{3}

Graph

Popular Examples

integral from a to infinity of x^2

\int_{a}^{\infty} x^{2} d x

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

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

integral from 1 to 9 of (3(ln(x))^2)/x

\int_{1}^{9} \frac{3 ( ln ( x ) ) ^{2}}{x} d x

integral from-2 to 1 of-x^2+2-x

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

integral from 7 to 9 of x^2+2x-4

\int_{7}^{9} x^{2} + 2 x - 4 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^2-2x+5 ?
The integral from 0 to 1 of x^2-2x+5 is 13/3