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

Decimal

5.25

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}

Graph

Popular Examples

integral from 0 to 2pi of 8sin(θ)cos(θ)

\int_{0}^{2 π} 8 sin (θ) cos (θ) d θ

integral from 1 to 7 of 5/x-5/(x^2)

\int_{1}^{7} \frac{5}{x} - \frac{5}{x ^{2}} d x

integral from 5 to 8 of x

\int_{5}^{8} x d x

integral from infinity to r of 1/(r^2)

\int_{\infty}^{r} \frac{1}{r ^{2}} d r

integral from-4 to 2 of 1/(sqrt(x+4))

\int_{- 4}^{2} \frac{1}{x + 4} 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