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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 3sqrt(25-x)

\int 3 25 - x d x

integral from-2 to 0 of (7x^2+7x)

\int_{- 2}^{0} (7 x^{2} + 7 x) d x

integral of 2sin(t)

\int 2 sin (t) d t

limit as h approaches 0 of ((x+h)^{2/3}-(x^{2/3}))/h

h \to 0 lim \frac{( x + h ) ^{\frac{2}{3}} - ( x ^{\frac{2}{3}} )}{h}

integral from b to 2b of x^5

\int_{b}^{2 b} x^{5} d x