see its very simple....just multiply and divide the given expression by e^x and thn put e^x as t.... the expression becomes... cot ^ -1 t/t^2 dt
thn apply that by parts formula of integration and u can easily get the answer... option 3 is correct....and 1 piece of advice at the first attempt nvr try to solve any integration prob by differentiating the options... its just a waste of time... u can use it in case ur sitting for an examination and not getting any answer