What is the integral of e^{-ln(x^3)} ?

The integral of e^{-ln(x^3)} is -1/(2x^2)+C

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integral of e^{-ln(x^3)}

\int e^{- l n (x^{3})} d x

- \frac{1}{2 x ^{2}} + C

Solution steps

\int e^{- l n (x^{3})} d x

Simplify

e^{- l n (x^{3})} : \frac{1}{x ^{3}}

= \int \frac{1}{x ^{3}} d x

Apply the Power Rule

: - \frac{1}{2 x ^{2}}

= - \frac{1}{2 x ^{2}}

Add a constant to the solution

= - \frac{1}{2 x ^{2}} + C

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What is the integral of e^{-ln(x^3)} ?
The integral of e^{-ln(x^3)} is -1/(2x^2)+C