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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{14}{3}

+1

Dezimale

4.66666 \dots

Schritte zur Lösung

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

Multipliziere aus

(2 x - 1)^{2} : 4 x^{2} - 4 x + 1

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

\int_{- 1}^{1} 4 x^{2} d x = \frac{8}{3}

\int_{- 1}^{1} 4 x d x = 0

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

= \frac{8}{3} - 0 + 2

Vereinfache

\frac{8}{3} - 0 + 2 : \frac{14}{3}

= \frac{14}{3}

Graph

Beliebte Beispiele

(dy)/(dx)=-5-5x+y

\frac{d y}{d x} = - 5 - 5 x + y

integral of sqrt(2y)

\int 2 y d y

(\partial)/(\partial x)((x-5)^{1/4}y^{1/4})

\frac{\partial}{\partial x} ((x - 5)^{\frac{1}{4}} y^{\frac{1}{4}})

derivative f(x)=e^xsin(x)

d er i v a t i v e f (x) = e^{x} sin (x)

limit as x approaches 1 of x^2+3

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