int e^x cosx.dx...

`int e^x cosx.dx`

Verified by Experts

The correct Answer is:

`e^x/2`

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"If " int x e^(x) cosx dx=ae^(x)(b(1-x)sinx+cx cosx)+d, then

`a=1,b=1,c=-1`

`a=(1)/(2),b=-1,c=1`

`a=1,b=-1,c=1`

`a=(1)/(2),b=1,c=-1`

`xcot((x)/(2))+2log|sin((x)/(2))|+c`

`xcot((x)/(2))-2log|sin((x)/(2))|+c`

`-xcot((x)/(2))+2log|sin((x)/(2))|+c`

`-xcot((x)/(2))-2log|sin((x)/(2))|+c`