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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{9}{2}

+1

Dezimale

4.5

Schritte zur Lösung

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

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

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

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

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

Vereinfache

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

= \frac{9}{2}

Graph

Beliebte Beispiele

limit as x approaches 0 of (x+5)/x

x \to 0 lim (\frac{x + 5}{x})

(\partial)/(\partial x)(3x^3-y^2+4xy)

\frac{\partial}{\partial x} (3 x^{3} - y^{2} + 4 x y)

y^{''}+y^'+y=t+e^{2t}

y^{^{''}} + y^{^{'}} + y = t + e^{2 t}

y^'+2y=1+e^{3x}

y^{^{'}} + 2 y = 1 + e^{3 x}

fläche 4x,x,x^3

a re a 4 x, x, x^{3}