So I spent a whole day trying to do this reduction formula but didn't got it ! The question says find the reduction formula for $$∫ e^{2x} \cos(\ln x) \,d x$$
I've searched a lot and found this integral which is some how close to the problem but this one have a constant derivative to the function inside the Cos integrating by parts twice can send this constant to the outside, but in my question the derivative of $\ln x$ is just another variable
Is this non-integrable function ?!