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Beliebt Rechnen >

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

Lösung

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

Lösung

8

Schritte zur Lösung

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

Vereinfache

(x - 1)^{2} : x - 1

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

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

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

= 12 - 4

Vereinfache

= 8

Graph

Beliebte Beispiele

integral of (12)/(x^2)

\int \frac{12}{x ^{2}} d x

derivative of sqrt(x)-1/3 x

\frac{d}{d x} (x - \frac{1}{3} x)

(\partial)/(\partial x)(xe^{6y}sin(5z))

\frac{\partial}{\partial x} (x e^{6 y} sin (5 z))

inverselaplace (-s-2)/(s^2+s+16)

in v erse l a pl a ce \frac{- s - 2}{s ^{2} + s + 16}

inverselaplace e^{-2s}*1/s

in v erse l a pl a ce e^{- 2 s} \cdot \frac{1}{s}