Express the limit as a definite integral on the given interval.

http://www.webassign.net/cgi-bin/symimage.cgi?expr=%20lim_%28n-%3Einfinity%29%20sum_%28i%3D1%29%5En%20%28cos%28%20x_i%29%29%2Fx_i%20Deltax%20text%28%2C%20%29%20%5C%5B%202%20pi%20text%28%2C%20%29%203%20pi%5C%5D%20

Question

Express the limit as a definite integral on the given interval.

http://www.webassign.net/cgi-bin/symimage.cgi?expr=%20lim_%28n-%3Einfinity%29%20sum_%28i%3D1%29%5En%20%28cos%28%20x_i%29%29%2Fx_i%20Deltax%20text%28%2C%20%29%20%5C%5B%202%20pi%20text%28%2C%20%29%203%20pi%5C%5D%20

anonymous · Answer

I think it is this:$$\int\limits_{2\pi}^{3\pi}(\cos(x)/x)dx$$

anonymous · Answer

oops should be 2pi on lower bound sry

anonymous · Answer

Wow!! Fantastic, you really saved me a lot of trouble there! :)  thanks so much.  any chance you know how to answer that other integral question i posted??