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Beliebt Rechnen >

integral from-1 to 4 of (x^2+2x-1)

Lösung

\int_{- 1}^{4} (x^{2} + 2 x - 1) d x

Lösung

\frac{95}{3}

+1

Dezimale

31.66666 \dots

Schritte zur Lösung

\int_{- 1}^{4} x^{2} + 2 x - 1 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}^{4} x^{2} d x + \int_{- 1}^{4} 2 x d x - \int_{- 1}^{4} 1 d x

\int_{- 1}^{4} x^{2} d x = \frac{65}{3}

\int_{- 1}^{4} 2 x d x = 15

\int_{- 1}^{4} 1 d x = 5

= \frac{65}{3} + 15 - 5

Vereinfache

\frac{65}{3} + 15 - 5 : \frac{95}{3}

= \frac{95}{3}

Graph

Beliebte Beispiele

derivative of-yx

\frac{d}{d x} (- y x)

49y^{''}+140y^'+100y=0

49 y^{^{''}} + 140 y^{^{'}} + 100 y = 0

integral of (3-x^2)2^x

\int (3 - x^{2}) 2^{x} d x

tangent ln(xy)+y^2=2y,(e,1)

t an g e n t ln (x y) + y^{2} = 2 y, (e, 1)

(\partial)/(\partial x)(y^4 1/x)

\frac{\partial}{\partial x} (y^{4} \frac{1}{x})