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Beliebt Rechnen >

integral from-1 to 2 of x^2-3x

Lösung

\int_{- 1}^{2} x^{2} - 3 x d x

Lösung

- \frac{3}{2}

+1

Dezimale

- 1.5

Schritte zur Lösung

\int_{- 1}^{2} 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_{- 1}^{2} x^{2} d x - \int_{- 1}^{2} 3 x d x

\int_{- 1}^{2} x^{2} d x = 3

\int_{- 1}^{2} 3 x d x = \frac{9}{2}

= 3 - \frac{9}{2}

Vereinfache

3 - \frac{9}{2} : - \frac{3}{2}

= - \frac{3}{2}

Graph

Beliebte Beispiele

integral from 0 to 2pi of θ^2

\int_{0}^{2 π} θ^{2} d θ

integral from 0 to pi/2 of (1-cos(x))^2

\int_{0}^{\frac{π}{2}} (1 - cos (x))^{2} d x

integral from 0 to 5 of (x+1)/2

\int_{0}^{5} \frac{x + 1}{2} d x

integral from 1 to 2 of x-1/x

\int_{1}^{2} x - \frac{1}{x} d x

integral from-4 to 4 of 1

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