展开 e^{4x}(4sin(x)+cos(x))

解答

展开

e^{4 x} (4 sin (x) + cos (x))

4 e^{4 x} sin (x) + e^{4 x} cos (x)

求解步骤

e^{4 x} (4 sin (x) + cos (x))

使用分配律:

a (b + c) = ab + a c

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

= e^{4 x} \cdot 4 sin (x) + e^{4 x} cos (x)

= 4 e^{4 x} sin (x) + e^{4 x} cos (x)

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

e x p an d \frac{csc ( x ) ( sec ( x ) - 1 ) - tan ( x )}{sec ( x ) - 1}

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

s im pl i f y \frac{1}{4} (sin^{4} (x) + cos^{4} (x))

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