erweitern e^{4t}cos(4t)(sin(4t)-cos(4t))

Lösung

erweitern

e^{4 t} cos (4 t) (sin (4 t) - cos (4 t))

e^{4 t} cos (4 t) sin (4 t) - e^{4 t} cos^{2} (4 t)

Schritte zur Lösung

e^{4 t} cos (4 t) (sin (4 t) - cos (4 t))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = e^{4 t} cos (4 t), b = sin (4 t), c = cos (4 t)

= e^{4 t} cos (4 t) sin (4 t) - e^{4 t} cos (4 t) cos (4 t)

e^{4 t} cos (4 t) cos (4 t) = e^{4 t} cos^{2} (4 t)

= e^{4 t} cos (4 t) sin (4 t) - e^{4 t} cos^{2} (4 t)

e x p an d (4, 3, 10) y (5, - 3, 2)

e x p an d x ln^{2} (x) - 2 (x ln (x) - x) + C

e x p an d ln (\frac{9 x}{x - 9})

e x p an d (3 x^{2} + 4 x - 5)^{5}

e x p an d \frac{( k + 1 ) ( k + 2 ) ( 2 k + 9 )}{6}