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

The integral of-xe^{-ln(x)} is -x+C

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integral of-xe^{-ln(x)}

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

- x + C

Solution steps

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

- x e^{- l n (x)} = - 1

= \int - 1 d x

Integral of a constant:

\int a d x = a x

= (- 1) x

Simplify

= - x

Add a constant to the solution

= - x + C

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