What is the integral from-9 to 9 of 1-(x^2)/(81) ?

The integral from-9 to 9 of 1-(x^2)/(81) is 12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-9 to 9 of 1-(x^2)/(81)

\int_{- 9}^{9} 1 - \frac{x ^{2}}{81} d x

12

Solution steps

\int_{- 9}^{9} 1 - \frac{x ^{2}}{81} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 9}^{9} 1 d x - \int_{- 9}^{9} \frac{x ^{2}}{81} d x

\int_{- 9}^{9} 1 d x = 18

\int_{- 9}^{9} \frac{x ^{2}}{81} d x = 6

= 18 - 6

Simplify

= 12

f (x) = 2 x + 8 x

x^{3} - 9 x

y = 2 x^{3} - 5 x + 1, (2, 7)

x \to 1 lim (\frac{e ^{x} - e}{x - 1})

5 x + 4

What is the integral from-9 to 9 of 1-(x^2)/(81) ?
The integral from-9 to 9 of 1-(x^2)/(81) is 12