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Beliebt Rechnen >

integral from 0 to 3 of (5x-x^2)

Lösung

\int_{0}^{3} (5 x - x^{2}) d x

Lösung

\frac{27}{2}

+1

Dezimale

13.5

Schritte zur Lösung

\int_{0}^{3} 5 x - x^{2} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{3} 5 x d x - \int_{0}^{3} x^{2} d x

\int_{0}^{3} 5 x d x = \frac{45}{2}

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

= \frac{45}{2} - 9

Vereinfache

\frac{45}{2} - 9 : \frac{27}{2}

= \frac{27}{2}

Graph

Beliebte Beispiele

y^{''}-4y^'+4y=t^{-7}e^{2t}

y^{^{''}} - 4 y^{^{'}} + 4 y = t^{- 7} e^{2 t}

integral of 1/((1-y)(2-y))

\int \frac{1}{( 1 - y ) ( 2 - y )} d y

laplacetransform f(s)=2te^{-5t}

l a pl a ce t r an s f or m f (s) = 2 t e^{- 5 t}

fläche f(x)=x^2+2x,[1,2]

a re a f (x) = x^{2} + 2 x, [1, 2]

derivative of-2x^2+2x

\frac{d}{d x} (- 2 x^{2} + 2 x)