展开 (ycos(x)+2xe^y)dx

解答

展开

(y cos (x) + 2 x e^{y}) d x

y cos (x) d x + 2 e^{y} x d x

求解步骤

(y cos (x) + 2 x e^{y}) d x

= (y cos (x) + 2 e^{y} x) d x

使用分配律:

a (b + c) = ab + a c

a = d x, b = y cos (x), c = 2 x e^{y}

= d x y cos (x) + d x \cdot 2 x e^{y}

= y cos (x) d x + 2 e^{y} x d x

e x p an d \frac{10 ( 59 + 4902 )}{49}

e x p an d (x - 1) ln (5)

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

e x p an d \frac{5 ( 3 + 3909 )}{6}

s im pl i f y (1 - e^{i x}) (1 - e^{- i x})