展开 (1-e^{-at})sin(x)

解答

展开

(1 - e^{- a t}) sin (x)

sin (x) - e^{- a t} sin (x)

求解步骤

(1 - e^{- a t}) sin (x)

= sin (x) (1 - e^{- a t})

使用分配律:

a (b - c) = ab - a c

a = sin (x), b = 1, c = e^{- a t}

= sin (x) \cdot 1 - sin (x) e^{- a t}

= 1 \cdot sin (x) - e^{- a t} sin (x)

乘以:

1 \cdot sin (x) = sin (x)

= sin (x) - e^{- a t} sin (x)

e x p an d \frac{( x - 1 ) ^{4 n} ( x ^{3} + 8 ) ( x - 4 )}{( x ^{2} - 2 x + 2 )}

e x p an d A B + A (C D + C D^{^{'}})

e x p an d A (1, 3) B (2, - 5)

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

e x p an d \frac{x ^{2} - 2 x + 3}{( x - 3 ) ( x ^{2} + 9 )}