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Beliebt Rechnen >

integral of x-2|x|

Lösung

\int x - 2 ∣ x ∣ d x

Lösung

\frac{x ^{2}}{2} - x ∣ x ∣ + C

Schritte zur Lösung

\int x - 2 ∣ x ∣ 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 x d x - \int 2 ∣ x ∣ d x

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

\int 2 ∣ x ∣ d x = x ∣ x ∣

= \frac{x ^{2}}{2} - x ∣ x ∣

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{2}}{2} - x ∣ x ∣ + C

Graph

Beliebte Beispiele

integral of x/(4-x^2+sqrt(4-x^2))

\int \frac{x}{4 - x ^{2} + 4 - x ^{2}} d x

integral of 4xsin(x^2)

\int 4 x sin (x^{2}) d x

integral of 9sin^4(x)cos(x)

\int 9 sin^{4} (x) cos (x) d x

integral of 10x^4e^{x^5}

\int 10 x^{4} e^{x^{5}} d x

integral of (cos(pi/(x^2)))/(x^3)

\int \frac{cos ( \frac{π}{x ^{2}} )}{x ^{3}} d x