What is expand (ycos(x)+2xe^y)dx ?

The solution to expand (ycos(x)+2xe^y)dx is ycos(x)dx+2e^yxdx

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expand (ycos(x)+2xe^y)dx

expand

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

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

Solution steps

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

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

Apply the distributive law:

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

\frac{10 ( 59 + 4902 )}{49}

(x - 1) ln (5)

- \frac{y}{( x + 2 ) ^{2}}

\frac{5 ( 3 + 3909 )}{6}

(1 - e^{i x}) (1 - e^{- i x})

What is expand (ycos(x)+2xe^y)dx ?
The solution to expand (ycos(x)+2xe^y)dx is ycos(x)dx+2e^yxdx