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Beliebt Rechnen >

integral from 1 to 3 of x^3+2x-3

Lösung

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

Lösung

22

Schritte zur Lösung

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

\int_{1}^{3} x^{3} d x = 20

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

\int_{1}^{3} 3 d x = 6

= 20 + 8 - 6

Vereinfache

= 22

Graph

Beliebte Beispiele

derivative f(x)=(3x+5)^2

d er i v a t i v e f (x) = (3 x + 5)^{2}

integral of 1/(cos(x)+1)

\int \frac{1}{cos ( x ) + 1} d x

derivative f(x)=3x^2+2x+1

d er i v a t i v e f (x) = 3 x^{2} + 2 x + 1

fläche x^2-4x+7,2x^2-3x+1

a re a x^{2} - 4 x + 7, 2 x^{2} - 3 x + 1

derivative xsin(5x)

d er i v a t i v e x sin (5 x)