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Popular >

integral from 0 to 9 of 9x-x^2

Solution

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

Solution

\frac{243}{2}

+1

Decimal Notation

121.5

Solution steps

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

\int_{0}^{9} 9 x d x = \frac{729}{2}

\int_{0}^{9} x^{2} d x = 243

= \frac{729}{2} - 243

Simplify

\frac{729}{2} - 243 : \frac{243}{2}

= \frac{243}{2}

Popular Examples

limit as x approaches 5 of 3x

x \to 5 lim (3 x)

derivative of h(x)=(sqrt(3))/(x^3+1)derivative of

h (x) = \frac{3}{x ^{3} + 1}

9(t+1)(dy)/(dt)-5y=20t

9 (t + 1) \frac{d y}{d t} - 5 y = 20 t

inverse oflaplace (-2e^s)/((s^2-2s-8))inverse laplace

\frac{- 2 e ^{s}}{( s ^{2} - 2 s - 8 )}

limit as x approaches infinity of (x)^x

x \to \infty lim ((x)^{x})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 9 of 9x-x^2 ?
The integral from 0 to 9 of 9x-x^2 is 243/2