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 3 of e^x-e

Solution

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

Solution

e^{3} - 3 e

+1

Decimal

11.93069 \dots

Solution steps

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

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

\int_{1}^{3} e d x = 2 e

= e^{3} - e - 2 e

Simplify

= e^{3} - 3 e

Graph

Popular Examples

integral from 0 to a of 8xsqrt(a^2-x^2)

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

integral from 0 to pi of x^6sin(x)

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

integral from 0 to 3 of 4x-1

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of e^x-e ?
The integral from 1 to 3 of e^x-e is e^3-3e