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Beliebt Rechnen >

integral of (sin(x)+3)

Lösung

\int (sin (x) + 3) d x

Lösung

- cos (x) + 3 x + C

Schritte zur Lösung

\int sin (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 sin (x) d x + \int 3 d x

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

\int 3 d x = 3 x

= - cos (x) + 3 x

Füge eine Konstante zur Lösung hinzu

= - cos (x) + 3 x + C

Graph

Beliebte Beispiele

derivative y=cos(4x)

d er i v a t i v e y = cos (4 x)

integral of (1-2x)/(x^2)

\int \frac{1 - 2 x}{x ^{2}} d x

derivative of ln(sqrt(3x-2))

\frac{d}{d x} (ln (3 x - 2))

derivative \sqrt[5]{x^3}

d er i v a t i v e 5 x^{3}

tangent f(x)=cos(2x),\at x= pi/6

t an g e n t f (x) = cos (2 x), at x = \frac{π}{6}