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Beliebt Rechnen >

integral of xcos(6x^2)

Lösung

\int x cos (6 x^{2}) d x

Lösung

\frac{1}{12} sin (6 x^{2}) + C

Schritte zur Lösung

\int x cos (6 x^{2}) d x

Wende U-Substitution an

= \int \frac{cos ( u )}{12} d u

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{12} \cdot \int cos (u) d u

Nutze das gemeinsame Integral :

\int cos (u) d u = sin (u)

= \frac{1}{12} sin (u)

Setze in

u = 6 x^{2}

ein

= \frac{1}{12} sin (6 x^{2})

Füge eine Konstante zur Lösung hinzu

= \frac{1}{12} sin (6 x^{2}) + C

Graph

Beliebte Beispiele

integral of x^{3.4}

\int x^{3.4} d x

integral of (sin(4x))/4

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

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\frac{d}{d x} ((x^{2} - 2 x - 1) (\frac{x + 1}{x + 3}))

(dy}{dt}=-\frac{2t)/y

\frac{d y}{d t} = - \frac{2 t}{y}

limit as x approaches-2 of log_{a}(x)

x \to - 2 lim (lo g_{a} (x))