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Beliebt Rechnen >

integral of sin(x)+12x

Lösung

\int sin (x) + 12 x d x

Lösung

- cos (x) + 6 x^{2} + C

Schritte zur Lösung

\int sin (x) + 12 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 (x) d x + \int 12 x d x

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

\int 12 x d x = 6 x^{2}

= - cos (x) + 6 x^{2}

Füge eine Konstante zur Lösung hinzu

= - cos (x) + 6 x^{2} + C

Graph

Beliebte Beispiele

derivative of sqrt(16x^3)

\frac{d}{d x} (16 x^{3})

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

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

\frac{d y}{d x} = y - 5

derivative of (log_{2}(x)/x)

\frac{d}{d x} (\frac{lo g _{2} ( x )}{x})

derivative (x^2)/(x-4)

d er i v a t i v e \frac{x ^{2}}{x - 4}