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

The integral of xcos(x)e^{-ln(x)} is sin(x)+C

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

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

sin (x) + C

Solution steps

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

Simplify

x cos (x) e^{- l n (x)} : cos (x)

= \int cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= sin (x)

Add a constant to the solution

= sin (x) + C

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