What is the integral from 1 to 7 of-1/3 y^2+3y ?

The integral from 1 to 7 of-1/3 y^2+3y is 34

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 7 of-1/3 y^2+3y

\int_{1}^{7} - \frac{1}{3} y^{2} + 3 y d y

34

Solution steps

\int_{1}^{7} - \frac{1}{3} y^{2} + 3 y 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_{1}^{7} \frac{1}{3} y^{2} d y + \int_{1}^{7} 3 y d y

\int_{1}^{7} \frac{1}{3} y^{2} d y = 38

\int_{1}^{7} 3 y d y = 72

= - 38 + 72

Simplify

= 34

x \frac{d y}{d x} + x y = 1 - y

n = 0 \sum \infty \frac{x ^{n}}{3 ^{n}}

x^{2} y y^{^{'}} + 3 x y^{2} = 0

y = 5 x - 4 x^{2}, (- 2, - 26)

\int \frac{x ^{5} + x}{x + 1} d x

What is the integral from 1 to 7 of-1/3 y^2+3y ?
The integral from 1 to 7 of-1/3 y^2+3y is 34