integral of x*e^cos(x) from 0 to 6.
I tried using integration by parts twice but no luck (couldn't find the integral of e^cos(x)). I was hoping I might use De Moivre's theorem but don't think it's applicable. I thought this looked a little like a La Place Transform, but couldn't find the appropriate form. Thought about integrating over a complex region, but forgot how and don't have 20 free hours to figure it out. I almost stated reading about the LeBesgue which I never understood in the first place.
The Attempt at a Solution
I punched it into wolfram alpha with some bounds and I finally got a numeric solution. What am I not seeing here, it's driving me crazy. Am I just supposed to use a graphing utility to solve this within as many significant digits that I care to compute?