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Beliebt Rechnen >

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

Lösung

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

Lösung

- \frac{9}{2}

+1

Dezimale

- 4.5

Schritte zur Lösung

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

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

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

\int_{- 2}^{1} 2 d x = 6

= 3 - \frac{3}{2} - 6

Vereinfache

3 - \frac{3}{2} - 6 : - \frac{9}{2}

= - \frac{9}{2}

Graph

Beliebte Beispiele

integral of (2x(x^2+2)^2)

\int (2 x (x^{2} + 2)^{2}) d x

derivative tsin(t)+cos(t)

d er i v a t i v e t sin (t) + cos (t)

2t^2(dx)/(dt)=3tx+x^2

2 t^{2} \frac{d x}{d t} = 3 t x + x^{2}

derivative y= 5/(4x^3)

d er i v a t i v e y = \frac{5}{4 x ^{3}}

limit as x approaches 0-of x^2

x \to 0 - lim (x^{2})