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 8 of 8y-y^2

Solution

\int_{0}^{8} 8 y - y^{2} d y

Solution

\frac{256}{3}

+1

Decimal

85.33333 \dots

Solution steps

\int_{0}^{8} 8 y - y^{2} d y

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}^{8} 8 y d y - \int_{0}^{8} y^{2} d y

\int_{0}^{8} 8 y d y = 256

\int_{0}^{8} y^{2} d y = \frac{512}{3}

= 256 - \frac{512}{3}

Simplify

256 - \frac{512}{3} : \frac{256}{3}

= \frac{256}{3}

Graph

Popular Examples

integral from-4 to 0 of x

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

integral from-2 to 1 of (-2x+4)

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

integral from 0 to x of ((sin(t))/t-1)

\int_{0}^{x} (\frac{sin ( t )}{t} - 1) d t

integral from 0 to 1 of (1-8v^3+16v^7)

\int_{0}^{1} (1 - 8 v^{3} + 16 v^{7}) d v

integral from 2 to 3 of sqrt(12-4x)

\int_{2}^{3} 12 - 4 x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 8 of 8y-y^2 ?
The integral from 0 to 8 of 8y-y^2 is 256/3