What is expand (xe^{xy}+2xy+1/x)dx ?

The solution to expand (xe^{xy}+2xy+1/x)dx is e^{xy}xdx+2xydx+(dx)/x

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expand (xe^{xy}+2xy+1/x)dx

expand

(x e^{x y} + 2 x y + \frac{1}{x}) d x

e^{x y} x d x + 2 x y d x + \frac{d x}{x}

Solution steps

(x e^{x y} + 2 x y + \frac{1}{x}) d x

= (e^{x y} x + 2 x y + \frac{1}{x}) d x

Distribute parentheses

= d xx e^{x y} + d x \cdot 2 x y + d x \frac{1}{x}

= e^{x y} x d x + 2 x y d x + \frac{1}{x} d x

\frac{1}{x} d x = \frac{d x}{x}

= e^{x y} x d x + 2 x y d x + \frac{d x}{x}

\frac{1}{( x + 1 ) x}

(1 + c e^{- \frac{x ^{2}}{2}})^{2}

(2, - 1) Y (- 1, - \frac{13}{7})

\frac{x}{( 2 ln ( y ) + 1 ) y}

\frac{e ^{x} ( 1 - x )}{( 1 + x ^{2} )}

What is expand (xe^{xy}+2xy+1/x)dx ?
The solution to expand (xe^{xy}+2xy+1/x)dx is e^{xy}xdx+2xydx+(dx)/x