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Beliebt Rechnen >

integral of sin(3x)+e^{2x}

Lösung

\int sin (3 x) + e^{2 x} d x

Lösung

- \frac{1}{3} cos (3 x) + \frac{1}{2} e^{2 x} + C

Schritte zur Lösung

\int sin (3 x) + e^{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 sin (3 x) d x + \int e^{2 x} d x

\int sin (3 x) d x = - \frac{1}{3} cos (3 x)

\int e^{2 x} d x = \frac{1}{2} e^{2 x}

= - \frac{1}{3} cos (3 x) + \frac{1}{2} e^{2 x}

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{3} cos (3 x) + \frac{1}{2} e^{2 x} + C

Graph

Beliebte Beispiele

integral of ((xsin^2(x))/2)

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

limit as x approaches 0+of x^{(x^2)}

x \to 0 + lim (x^{(x^{2})})

limit as h approaches 0 of h^2

h \to 0 lim (h^{2})

laplacetransform 10t^3

l a pl a ce t r an s f or m 10 t^{3}

tangent f(x)=2x^2+7x,\at x=4

t an g e n t f (x) = 2 x^{2} + 7 x, at x = 4