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Beliebt Rechnen >

integral from 1 to 5 of (x^2-x+1)

Lösung

\int_{1}^{5} (x^{2} - x + 1) d x

Lösung

\frac{100}{3}

+1

Dezimale

33.33333 \dots

Schritte zur Lösung

\int_{1}^{5} x^{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}^{5} x^{2} d x - \int_{1}^{5} x d x + \int_{1}^{5} 1 d x

\int_{1}^{5} x^{2} d x = \frac{124}{3}

\int_{1}^{5} x d x = 12

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

= \frac{124}{3} - 12 + 4

Vereinfache

\frac{124}{3} - 12 + 4 : \frac{100}{3}

= \frac{100}{3}

Graph

Beliebte Beispiele

derivative of-sin(4x)

\frac{d}{d x} (- sin (4 x))

derivative y=e^{x^4}

d er i v a t i v e y = e^{x^{4}}

(dy)/(dx)=(1+e^{2x})

\frac{d y}{d x} = (1 + e^{2 x})

derivative of (x^2/(x-9))

\frac{d}{d x} (\frac{x ^{2}}{x - 9})

steigung (-8,9),(-2,-3)

s l o p e (- 8, 9), (- 2, - 3)