What is area f(x)=(x-1)^2+2,x=-1,x=2 ?

The answer to area f(x)=(x-1)^2+2,x=-1,x=2 is 9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

area f(x)=(x-1)^2+2,x=-1,x=2

area

f (x) = (x - 1)^{2} + 2, x = - 1, x = 2

9

Solution steps

Apply the area formula:

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

Solve

\int_{- 1}^{2} (x - 1)^{2} + 2 d x : 9

The area is:

= 9

\int \frac{5 x ^{2} - 12 x - 12}{x ^{3} - 4 x} d x

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

x \to 1 + lim (\frac{2 x}{x - 1})

\int_{0}^{2} (2 x^{2} + 1) d x

\int e^{x + 2} d x

What is area f(x)=(x-1)^2+2,x=-1,x=2 ?
The answer to area f(x)=(x-1)^2+2,x=-1,x=2 is 9