en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

Solution

\int_{1}^{2} 5 x^{3} - 2 x d x

Solution

\frac{63}{4}

+1

Decimal

15.75

Solution steps

\int_{1}^{2} 5 x^{3} - 2 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} 5 x^{3} d x - \int_{1}^{2} 2 x d x

\int_{1}^{2} 5 x^{3} d x = \frac{75}{4}

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

= \frac{75}{4} - 3

Simplify

\frac{75}{4} - 3 : \frac{63}{4}

= \frac{63}{4}

Graph

Popular Examples

integral from-3 to 2 of x+1

integral from 0 to a of ax-x^2

integral from-5 to 0 of sin((npix)/5)

integral from 1 to 2 of [(inx)/(x^2)]

integral from 0 to t of sin(t-u)sin(u)

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of 5x^3-2x ?
The integral from 1 to 2 of 5x^3-2x is 63/4