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+3)

Solution

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

Solution

\frac{27}{4}

+1

Decimal

6.75

Solution steps

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

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

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

= \frac{15}{4} + 3

Simplify

\frac{15}{4} + 3 : \frac{27}{4}

= \frac{27}{4}

Graph

Popular Examples

integral from 3 to 6 of 5

\int_{3}^{6} 5 d x

integral from 0 to 4 of 3x+5

\int_{0}^{4} 3 x + 5 d x

integral from 1 to 2 of (28x^3+6/(x^2))

\int_{1}^{2} (28 x^{3} + \frac{6}{x ^{2}}) d x

integral from 1/2 to 2 of 6-6/(x^2)

\int_{\frac{1}{2}}^{2} 6 - \frac{6}{x ^{2}} d x

integral from 0 to x^2 of e^{x^2}

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (x^3+3) ?
The integral from 1 to 2 of (x^3+3) is 27/4