en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 3 of (4x-5)

Solution

\int_{- 2}^{3} (4 x - 5) d x

Solution

- 15

Solution steps

\int_{- 2}^{3} 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_{- 2}^{3} 4 x d x - \int_{- 2}^{3} 5 d x

\int_{- 2}^{3} 4 x d x = 10

\int_{- 2}^{3} 5 d x = 25

= 10 - 25

Simplify

= - 15

Graph

Popular Examples

integral from 0 to 3 of 1/3 x^3

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

integral from x to 1 of cos(t^2)

\int_{x}^{1} cos (t^{2}) d t

integral from-1 to 1 of ((x+3)^3e^x)/2

\int_{- 1}^{1} \frac{( x + 3 ) ^{3} e ^{x}}{2} d x

integral from 1 to 3 of x^{-3}

\int_{1}^{3} x^{- 3} d x

integral from 0 to 2 of x^2sqrt(2x-x^2)

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

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (4x-5) ?
The integral from-2 to 3 of (4x-5) is -15