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Popular >

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

Solution

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

Solution

36

Solution steps

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

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

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

= - 18 + 54

Simplify

= 36

Popular Examples

integral from 2 to 5 of 3/x

\int_{2}^{5} \frac{3}{x} d x

integral from 4 to 9 of 1/(x^2)

\int_{4}^{9} \frac{1}{x ^{2}} d x

integral from-8 to 8 of x^3

\int_{- 8}^{8} x^{3} d x

integral from 0 to 4 of x-1

\int_{0}^{4} x - 1 d x

integral from 0 to 2 of 7x(x^2+1)^2

\int_{0}^{2} 7 x (x^{2} + 1)^{2} d x

Frequently Asked Questions (FAQ)

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