Im having trouble setting up this Reimann Sum. The question is
Find the Riemann sum for f(x) = sin(x) over the interval [0, 2π],
where x_{0} = 0, x_{1} = π/4, x_{2} = π/3, x_{3} = π, and x_{4} = 2π, and
where c_{1} = π/6, c_{2} = π/3, c_{3} = 2π/3, and c_{4} = 3π/2. (Round your answer to three decimal places.)
So heres what i understand. n = 4, so there are 4 rectangles of uneven size. x_{0} - x_{4} are the given intervals.
I m guessing i should take and set it up like this .
But thats where im stuck. Do i evaluate each right end point times and add them up? Does = or
Any help is greatly appreciated.