What is area y=(-x^3)/2-(x^2)/2+(5x)/2 ,y=(-x)/2 ?

The answer to area y=(-x^3)/2-(x^2)/2+(5x)/2 ,y=(-x)/2 is 253/24

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

area y=(-x^3)/2-(x^2)/2+(5x)/2 ,y=(-x)/2

area

y = \frac{- x ^{3}}{2} - \frac{x ^{2}}{2} + \frac{5 x}{2}, y = \frac{- x}{2}

\frac{253}{24}

Solution steps

Apply the area formula:

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

Solve

\int_{- 3}^{2} - \frac{x ^{3}}{2} - \frac{x ^{2}}{2} + \frac{5 x}{2} + \frac{x}{2} d x : \frac{253}{24}

The area is:

= \frac{253}{24}

\int (- 2 e^{3 x} + \frac{5}{x}) d x

x \to + 1 lim (ln (x))

\int \frac{4 x ^{3} - 5 x ^{2}}{( x - 2 ) ( x + 1 )} d x

6 x, \frac{2}{3} x, 40 - x^{2}

\frac{d}{d x} (6 cos (x) sin (x))

What is area y=(-x^3)/2-(x^2)/2+(5x)/2 ,y=(-x)/2 ?
The answer to area y=(-x^3)/2-(x^2)/2+(5x)/2 ,y=(-x)/2 is 253/24