What is the integral from-3 to 3 of sqrt(9-x^2)+2 ?

The integral from-3 to 3 of sqrt(9-x^2)+2 is (9pi)/2+12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-3 to 3 of sqrt(9-x^2)+2

\int_{- 3}^{3} 9 - x^{2} + 2 d x

\frac{9 π}{2} + 12

Decimal

26.13716 \dots

Solution steps

\int_{- 3}^{3} 9 - x^{2} + 2 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_{- 3}^{3} 9 - x^{2} d x + \int_{- 3}^{3} 2 d x

\int_{- 3}^{3} 9 - x^{2} d x = \frac{9 π}{2}

\int_{- 3}^{3} 2 d x = 12

= \frac{9 π}{2} + 12

\int_{- 1}^{3} (5 x + 1)^{5} d x

\int_{0}^{π} π d x

\int_{0}^{t} sin (3 x) d x

\int_{0}^{4} (2 x^{2} + x) d x

\int_{\frac{1}{4}}^{\frac{1}{2}} \frac{2 ( x + 2 )}{5} d x

What is the integral from-3 to 3 of sqrt(9-x^2)+2 ?
The integral from-3 to 3 of sqrt(9-x^2)+2 is (9pi)/2+12