What is area 2x^3-6x^2-2x+6,-x^3+3x^2+x-3 ?

The answer to area 2x^3-6x^2-2x+6,-x^3+3x^2+x-3 is 24

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

area 2x^3-6x^2-2x+6,-x^3+3x^2+x-3

area

2 x^{3} - 6 x^{2} - 2 x + 6, - x^{3} + 3 x^{2} + x - 3

24

Solution steps

Apply the area formula:

\int_{- 1}^{3} 2 x^{3} - 6 x^{2} - 2 x + 6 - (- x^{3} + 3 x^{2} + x - 3) d x

Solve

\int_{- 1}^{3} 2 x^{3} - 6 x^{2} - 2 x + 6 - (- x^{3} + 3 x^{2} + x - 3) d x : 24

The area is:

= 24

\int_{0}^{4} π (\frac{20 - 5 x}{4})^{2} d x

d er i v a t i v e y = 4 x^{2} + 1

\int 2 x^{3} e^{x^{2}} d x

\int (\frac{1}{2 x}) d x

a re a y = 3 x, x = 0, x = 4

What is area 2x^3-6x^2-2x+6,-x^3+3x^2+x-3 ?
The answer to area 2x^3-6x^2-2x+6,-x^3+3x^2+x-3 is 24