en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 0 to 5 of 5x-1

Solution

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

Solution

\frac{115}{2}

+1

Decimal

57.5

Solution steps

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

\int_{0}^{5} 5 x d x = \frac{125}{2}

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

= \frac{125}{2} - 5

Simplify

\frac{125}{2} - 5 : \frac{115}{2}

= \frac{115}{2}

Graph

Popular Examples

integral from 0 to 1 of (9x^e+2e^x)

(dy)/(dx)=2xy^2+3x^2y^2

limit as x approaches 2 of 5x-2

integral of cos(4x+5)

integral of ((2x)/(x^2-36)+1/x+7)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of 5x-1 ?
The integral from 0 to 5 of 5x-1 is 115/2