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Popular >

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

Solution

\int_{- 3}^{3} (9 - x^{2}) d x

Solution

36

Solution steps

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

\int_{- 3}^{3} 9 d x = 54

\int_{- 3}^{3} x^{2} d x = 18

= 54 - 18

Simplify

= 36

Popular Examples

derivative of pi/2 derivative of

\frac{π}{2}

integral of (3+4x)/(sqrt(7+3x+2x^2))

\int \frac{3 + 4 x}{7 + 3 x + 2 x ^{2}} d x

limit as x approaches-2 of (x+2)/(x^2-4)

x \to - 2 lim (\frac{x + 2}{x ^{2} - 4})

limit as x approaches 3 of-(3-x)

x \to 3 lim (- (3 - x))

derivative of f(x)=-2x^2-20x-48 derivative of

f (x) = - 2 x^{2} - 20 x - 48

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of (9-x^2) ?
The integral from-3 to 3 of (9-x^2) is 36