What is the integral from-3 to 3 of 5-sqrt(9-x^2) ?

The integral from-3 to 3 of 5-sqrt(9-x^2) is 30-(9pi)/2

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integral from-3 to 3 of 5-sqrt(9-x^2)

\int_{- 3}^{3} 5 - 9 - x^{2} d x

30 - \frac{9 π}{2}

Decimal

15.86283 \dots

Solution steps

\int_{- 3}^{3} 5 - 9 - x^{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} 5 d x - \int_{- 3}^{3} 9 - x^{2} d x

\int_{- 3}^{3} 5 d x = 30

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

= 30 - \frac{9 π}{2}

\int_{0}^{5} cos (x) d x

\int_{2}^{3} \frac{1}{x ln ^{4} ( x )} d x

\int_{2}^{3} 2^{2 x} d x

\int_{0}^{7} x e^{x^{2}} d x

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

What is the integral from-3 to 3 of 5-sqrt(9-x^2) ?
The integral from-3 to 3 of 5-sqrt(9-x^2) is 30-(9pi)/2