Using subintervals [1,5], [5,8], and [8,10], what is the trapezoidal approximation to the definite integral from 0 to 10 of (2-cosx)dx?
Obviously this can be done by finding the individual areas of each trapezoid and adding them, but is it possible to do this using calculus processes (or even using sums) and not geometry? I am almost positive the answer rounds to 17.129, but I want to know the "correct" process of finding it.
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