What is the integral of (e^{ln(x)})/x ?

The integral of (e^{ln(x)})/x is x+C

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integral of (e^{ln(x)})/x

\int \frac{e ^{l n (x)}}{x} d x

x + C

Solution steps

\int \frac{e ^{l n (x)}}{x} d x

\frac{e ^{l n (x)}}{x} = 1

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

\frac{d}{d x} (5 x + 9)

\frac{d y}{d x} = (x + y + 8)^{2}

y^{^{''}} + 2 y + y = 1

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

\int x^{2} 2 - x^{3} d x