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

The integral of (e^{-ln(x)})/x is -1/x+C

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

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

- \frac{1}{x} + C

Solution steps

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

Simplify

\frac{e ^{- l n (x)}}{x} : \frac{1}{x ^{2}}

= \int \frac{1}{x ^{2}} d x

Apply the Power Rule

= - \frac{1}{x}

Add a constant to the solution

= - \frac{1}{x} + C

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\int - \frac{1}{x ^{2} + 9} d x

What is the integral of (e^{-ln(x)})/x ?
The integral of (e^{-ln(x)})/x is -1/x+C