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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.8 Numerical Integration, #13 · Calculus · Integrals

To compute … with error less than …, how many intervals should…

To compute $ln 2 = \int_{1}^{2} d x / x = .69315$ with error less than $.001$ , how many intervals should $T_{n}$ need? Its leading error is $(Δ x)^{2} [y^{'} (b) - y^{'} (a)] /12$ . Test the actual error with $y = 1/ x$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.8 Numerical Integration, #13

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