What is expand (e^x+ln(y)+y/x)dx ?

The solution to expand (e^x+ln(y)+y/x)dx is e^xdx+ln(y)dx+(ydx)/x

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expand (e^x+ln(y)+y/x)dx

expand

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

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

Solution steps

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

Distribute parentheses

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

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

Multiply

\frac{y}{x} d x : \frac{y d x}{x}

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

sec (x) (1 - cos (x) = sec (x) - 1)

e^{t} + (e^{t} cot (x) + 2 x csc (x)) \frac{d x}{d t}

\frac{1}{x \cdot ( a \cdot x + 1 ) ^{2}}

\frac{( 2 p x + w x ^{2} ) x}{2}

2 ((x + h) - f (x))^{2} - 1

What is expand (e^x+ln(y)+y/x)dx ?
The solution to expand (e^x+ln(y)+y/x)dx is e^xdx+ln(y)dx+(ydx)/x