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Beliebt Rechnen >

integral of 2sin(x)+sin(2x)

Lösung

\int 2 sin (x) + sin (2 x) d x

Lösung

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

Schritte zur Lösung

\int 2 sin (x) + sin (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 2 sin (x) d x + \int sin (2 x) d x

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

\int sin (2 x) d x = - \frac{1}{2} cos (2 x)

= - 2 cos (x) - \frac{1}{2} cos (2 x)

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative of 1-1/(x^2)

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

(dy)/(dx)=(x^2+y^2+xy)/(x^2)

\frac{d y}{d x} = \frac{x ^{2} + y ^{2} + x y}{x ^{2}}

derivative of ln(2*2^{2x+3})

\frac{d}{d x} (ln (2) \cdot 2^{2 x + 3})

(\partial)/(\partial x)(xy+3y)

\frac{\partial}{\partial x} (x y + 3 y)

limit as x approaches 2 of-x^2+bx-1

x \to 2 lim (- x^{2} + b x - 1)