en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 1 of (8-6x^2)

Solution

\int_{0}^{1} (8 - 6 x^{2}) d x

Solution

6

Solution steps

\int_{0}^{1} 8 - 6 x^{2} 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} 8 d x - \int_{0}^{1} 6 x^{2} d x

\int_{0}^{1} 8 d x = 8

\int_{0}^{1} 6 x^{2} d x = 2

= 8 - 2

Simplify

= 6

Graph

Popular Examples

integral from 0 to pi/2 of cos^2(3x)

\int_{0}^{\frac{π}{2}} cos^{2} (3 x) d x

integral from 0 to 3 of 1/(sqrt(3x-x^2))

\int_{0}^{3} \frac{1}{3 x - x ^{2}} d x

integral from 0 to 1 of 1-x^{1/4}

\int_{0}^{1} 1 - x^{\frac{1}{4}} d x

integral from 0 to x^3 of e^{y/x}

\int_{0}^{x^{3}} e^{\frac{y}{x}} d y

integral from 0 to 1 of x^2sqrt(9+4x^2)

\int_{0}^{1} x^{2} 9 + 4 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (8-6x^2) ?
The integral from 0 to 1 of (8-6x^2) is 6