en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 2 to 3 of x^3-1

Solution

\int_{2}^{3} x^{3} - 1 d x

Solution

\frac{61}{4}

+1

Decimal

15.25

Solution steps

\int_{2}^{3} x^{3} - 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_{2}^{3} x^{3} d x - \int_{2}^{3} 1 d x

\int_{2}^{3} x^{3} d x = \frac{65}{4}

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

= \frac{65}{4} - 1

Simplify

\frac{65}{4} - 1 : \frac{61}{4}

= \frac{61}{4}

Graph

Popular Examples

integral from pi/4 to pi/2 of 7cot^3(x)

integral from 1.5 to 2 of (2-x)

integral from 0 to 2 of 16

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

integral from 0 to 6 of (xe^x)/((1+x)^2)

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of x^3-1 ?
The integral from 2 to 3 of x^3-1 is 61/4