展开 l(e^x+e^{-x})sin(x)

解答

展开

l (e^{x} + e^{- x}) sin (x)

l e^{x} sin (x) + l e^{- x} sin (x)

求解步骤

l (e^{x} + e^{- x}) sin (x)

= l sin (x) (e^{x} + e^{- x})

使用分配律:

a (b + c) = ab + a c

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

= l sin (x) e^{x} + l sin (x) e^{- x}

= l e^{x} sin (x) + l e^{- x} sin (x)

e x p an d (\frac{( k ( 3 k + 1 ) )}{2}) + (3 k + 1)

e x p an d \frac{( - 4 + 5 x ) ^{2}}{16}

e x p an d 2 (- 3 x - 5 y = - 2)

e x p an d (10 x - 20) e - 0.1 x

e x p an d \frac{( x - 1 ) ( x - 4 )}{4}