Find the following $int 4 (1/x-e^-x)cos(e^-x +lnx)dx$ ?

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Answer 1 · 2018-04-27T19:52:26

$= 4 sin (e^-x +ln x) + C$

Note that:

$4 int \ (1/x-e^-x)cos(e^-x +ln x)dx$

$= 4 int \ d/(dx) (e^-x +ln x) cos(e^-x +ln x)\ dx$

$= 4 int \ d/(dx) sin (e^-x +ln x)\ dx$

$= 4 sin (e^-x +ln x) + C$

Find the following int 4 (1/x-e^-x)cos(e^-x +lnx)dxint 4 (1/x-e^-x)cos(e^-x +lnx)dx?