en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 1 to 4 of x^2+4x+5

Solution

\int_{1}^{4} x^{2} + 4 x + 5 d x

Solution

66

Solution steps

\int_{1}^{4} x^{2} + 4 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_{1}^{4} x^{2} d x + \int_{1}^{4} 4 x d x + \int_{1}^{4} 5 d x

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 4 x d x = 30

\int_{1}^{4} 5 d x = 15

= 21 + 30 + 15

Simplify

= 66

Graph

Popular Examples

integral from 0 to 1 of x^2-4x+3

integral from 0 to y of e^{y^2}

integral from 5 to 8 of sqrt(3x+1)

integral from 6 to 7 of 1/(x^2)

integral from 4 to 2 of g(x)

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of x^2+4x+5 ?
The integral from 1 to 4 of x^2+4x+5 is 66