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...Multiple integrals improper numerical analysis and computing lecture notes integration dierentiation joe mahay hmahaffy math sdsu edui department of mathematics dynamical systems group computational sciences research center san diego state university ca http www rohan edu jmahay spring outline csr in n d non rectangular domains calculus treasures taylor expansions surprise the world is not one dimensional very few interesting problems are so we need schemes for i e zz f x y dx dy r where c a b good news techniques have developed previously can be adopted multi straight forward way composite simpson s rule our favorite scheme discuss that context wedivide range into an even number sub intervals with nodes spaced h apart wewrite dxdy z df rst apply to approximate treating as constant...