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Beliebt Rechnen >

integral of-4sin(2x)+3

Lösung

\int - 4 sin (2 x) + 3 d x

Lösung

2 cos (2 x) + 3 x + C

Schritte zur Lösung

\int - 4 sin (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 4 sin (2 x) d x + \int 3 d x

\int 4 sin (2 x) d x = - 2 cos (2 x)

\int 3 d x = 3 x

= - (- 2 cos (2 x)) + 3 x

Vereinfache

= 2 cos (2 x) + 3 x

Füge eine Konstante zur Lösung hinzu

= 2 cos (2 x) + 3 x + C

Graph

Beliebte Beispiele

integral of 1/(sqrt(2x+3))

\int \frac{1}{2 x + 3} d x

derivative of (1/2 x^2-3^2)

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

(d^2}{dx^2}(\frac{ln(x))/x)

\frac{d ^{2}}{d x ^{2}} (\frac{ln ( x )}{x})

derivative of 2+e^x

\frac{d}{d x} (2 + e^{x})

limit as x approaches 3 of 10^{x^2-4x}

x \to 3 lim (1 0^{x^{2} - 4 x})