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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{9}{2}

+1

Dezimale

4.5

Schritte zur Lösung

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

Vereinfache

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

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

\int_{0}^{3} 3 x d x = \frac{27}{2}

= - 9 + \frac{27}{2}

Vereinfache

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

= \frac{9}{2}

Graph

Beliebte Beispiele

(d^2)/(dx^2)(-(2x^2)/(5y^2))

\frac{d ^{2}}{d x ^{2}} (- \frac{2 x ^{2}}{5 y ^{2}})

(dy)/(dx)=e^{6y+10x}

\frac{d y}{d x} = e^{6 y + 10 x}

derivative of 2x-(16/(x^2))

\frac{d}{d x} (2 x - \frac{16}{x ^{2}})

integral from 0 to 6 of 2x+1

\int_{0}^{6} 2 x + 1 d x

\frac{d}{d t} (- t)