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Beliebt Rechnen >

laplacetransform sin(6(t-(3pi)/6))

Lösung

laplace transformation

sin (6 (t - \frac{3 π}{6}))

Lösung

- \frac{6}{s ^{2} + 36}

Schritte zur Lösung

L {sin (6 (t - \frac{3 π}{6}))}

Wende Laplace-Transformationstabelle an:

L {sin (a t + b)} = \frac{s \cdot sin ( b ) + a \cdot cos ( b )}{s ^{2} + a ^{2}}

L {sin (6 (t - \frac{3 π}{6}))} = \frac{s sin ( - 3 π ) + 6 cos ( - 3 π )}{s ^{2} + 6 ^{2}}

= \frac{s sin ( - 3 π ) + 6 cos ( - 3 π )}{s ^{2} + 6 ^{2}}

= - \frac{6}{s ^{2} + 36}

Beliebte Beispiele

derivative of x(e^{-x})

\frac{d}{d x} (x (e^{- x}))

(\partial)/(\partial x)((xy)/(e^{x^2+y^2)})

\frac{\partial}{\partial x} (\frac{x y}{e ^{x^{2} + y^{2}}})

derivative ln(arctan(2x^3))

d er i v a t i v e ln (arctan (2 x^{3}))

integral of 3/x+2e^x

\int \frac{3}{x} + 2 e^{x} d x

derivative of 3x-x^2

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