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Beliebt Rechnen >

integral of sin(2x+pi)

Lösung

\int sin (2 x + π) d x

Lösung

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

Schritte zur Lösung

\int sin (2 x + π) d x

Wende die partielle Integration an

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

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

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

Vereinfache

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

limit as x approaches 0 of xsin(1/x)

x \to 0 lim (x sin (\frac{1}{x}))

integral from 1 to 2 of (10ln(x))/(x^2)

\int_{1}^{2} \frac{10 ln ( x )}{x ^{2}} d x

f(x)=arctan(5x)

f (x) = arctan (5 x)

integral of x/(sqrt(x-11))

\int \frac{x}{x - 11} d x

integral of e^{3x}sin(x)

\int e^{3 x} sin (x) d x