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Beliebt Rechnen >

integral of (cos(x)-sin(2x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Vereinfache

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

(\partial)/(\partial y)(e^{-x}sec(y))

\frac{\partial}{\partial y} (e^{- x} sec (y))

derivative of sqrt(x^4+x)

\frac{d}{d x} (x^{4} + x)

derivative of sin^2(2x)

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

integral of (\sqrt[3]{x}+\sqrt[4]{x})

\int (3 x + 4 x) d x

derivative y=-x^2+62

d er i v a t i v e y = - x^{2} + 62