en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

\frac{11}{4}

+1

Solution steps

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

\int_{1}^{2} x^{3} d x = \frac{15}{4}

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

= \frac{15}{4} - 1

Simplify

\frac{15}{4} - 1 : \frac{11}{4}

= \frac{11}{4}

Popular Examples

integral from-2 to 1 of (1/3 t-2)^2

\int_{- 2}^{1} (\frac{1}{3} t - 2)^{2} d t

integral from 0 to 1 of e^2

\int_{0}^{1} e^{2} d x

integral from 0 to 1000 of 0.03x+0.1

\int_{0}^{1000} 0.03 x + 0.1 d x

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

\int_{1}^{2} \frac{1}{x ^{2} + 2 x} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (x^3-1) ?
The integral from 1 to 2 of (x^3-1) is 11/4