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+x)

Solution

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

Solution

\frac{21}{4}

+1

Solution steps

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

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

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

= \frac{15}{4} + \frac{3}{2}

Simplify

\frac{15}{4} + \frac{3}{2} : \frac{21}{4}

= \frac{21}{4}

Popular Examples

integral from 0 to 2pi of cos^6(x)

\int_{0}^{2 π} cos^{6} (x) d x

integral from 1 to 3 of 1/2

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

integral from 3 to 6 of (x^2-6x+9)

\int_{3}^{6} (x^{2} - 6 x + 9) d x

integral from 0 to ln(A) of 9e^{3x}

\int_{0}^{l n (A)} 9 e^{3 x} d x

integral from 1 to 2 of x/3

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (x^3+x) ?
The integral from 1 to 2 of (x^3+x) is 21/4