en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 0 to 1 of 2+x^3

Solution

\int_{0}^{1} 2 + x^{3} d x

Solution

\frac{9}{4}

+1

Decimal

2.25

Solution steps

\int_{0}^{1} 2 + x^{3} 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_{0}^{1} 2 d x + \int_{0}^{1} x^{3} d x

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

\int_{0}^{1} x^{3} d x = \frac{1}{4}

= 2 + \frac{1}{4}

Simplify

2 + \frac{1}{4} : \frac{9}{4}

= \frac{9}{4}

Graph

Popular Examples

integral from 0 to 3 of 2x(x^2+1)^3

integral from 0 to 1 of x^5(1-x^2)^{3/2}

integral from 0 to 1 of 2te^{-2t}

integral from-1 to 2 of x^3-5x^2+3x-1

integral from 1 to 4 of sqrt(\sqrt{x)-1}

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of 2+x^3 ?
The integral from 0 to 1 of 2+x^3 is 9/4