Apply the midpoint and trapezoid rules to the following intergal. Make a table showing the approximations and errors for n = 4, 8, 16, and 16

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A: Given Where C  and b are the constants It passes through the points (2, 76) and (3, 304)

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A:

Q: Find the midpoint P between (–1, 2) and (3, –6).

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A:

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.