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 4 of (x^2-1)

Solution

\int_{1}^{4} (x^{2} - 1) d x

Solution

18

Solution steps

\int_{1}^{4} x^{2} - 1 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}^{4} x^{2} d x - \int_{1}^{4} 1 d x

\int_{1}^{4} x^{2} d x = 21

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

= 21 - 3

Simplify

= 18

Graph

Popular Examples

integral from 0 to sqrt(x of)ycos(x^2)

\int_{0}^{x} y cos (x^{2}) d y

integral from 0 to 2pi of 4cos^2(θ)

\int_{0}^{2 π} 4 cos^{2} (θ) d θ

integral from 1 to 2 of (5-7x)/(x^3)

\int_{1}^{2} \frac{5 - 7 x}{x ^{3}} d x

integral from 0 to 1 of x^2-4x+7

\int_{0}^{1} x^{2} - 4 x + 7 d x

integral from 0 to pi/6 of 3cos(x)+1

\int_{0}^{\frac{π}{6}} 3 cos (x) + 1 d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of (x^2-1) ?
The integral from 1 to 4 of (x^2-1) is 18