3) a In a dr A) How many equal parts should the integral interval be divided to calculate the integral with the composite Simpson's 1/3 method such that the maximum error is less than 10'5? r In z dr compound integral B) Using the number of integral intervals you find in (a)_ Calculate by Simpson's 1/3 method.

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Q: (x²-3x+2) dx

A: Please see the below picture for detailed solution.

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.