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 5 of 5x-1

Solution

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

Solution

\frac{115}{2}

+1

Decimal Notation

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}

Popular Examples

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

\int_{0}^{1} (9 x^{e} + 2 e^{x}) d x

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

\frac{d y}{d x} = 2 x y^{2} + 3 x^{2} y^{2}

derivative of f(t)=(cos(t))/(t^7)derivative of

f (t) = \frac{cos ( t )}{t ^{7}}

limit as x approaches 2 of 5x-2

x \to 2 lim (5 x - 2)

derivative of xcos(y-x)

\frac{d}{d x} (x cos (y - x))

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