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Popular >

integral from 0 to 3 of 9-x^2

Solution

\int_{0}^{3} 9 - x^{2} d x

Solution

18

Solution steps

\int_{0}^{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_{0}^{3} 9 d x - \int_{0}^{3} x^{2} d x

\int_{0}^{3} 9 d x = 27

\int_{0}^{3} x^{2} d x = 9

= 27 - 9

Simplify

= 18

Popular Examples

integral of ((3x+5))/((x^2+2x+2)^2)

\int \frac{( 3 x + 5 )}{( x ^{2} + 2 x + 2 ) ^{2}} d x

xln(x)y^'+y=xe^x,y(2)=-5

x ln (x) y^{^{'}} + y = x e^{x}, y (2) = - 5

derivative of 5xsqrt(x)

\frac{d}{d x} (5 x x)

derivative of 2cos(1/2 x)

\frac{d}{d x} (2 cos (\frac{1}{2} x))

integral from 0 to pi/4 of cos(x)

\int_{0}^{\frac{π}{4}} cos (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 9-x^2 ?
The integral from 0 to 3 of 9-x^2 is 18