a) Set up the integral that represents the length of the arc on the graph of y=x^2 that corresponds to the domain interval [0, 4]. Do not evaluate this integral, just set it up. b) Estimate the length of the arc from part a, using the Distance Formula to compute the length of the line segment joining the endpoints of this arc. c) Use the Trapezoidal Rule, with n = 8, to produce a better estimate of length of the arc (and the Integral value) from part a). List your partition – and the valuations of the integrand – before assembling the estimate.

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Q: What is the area of the curved surface of a right circular cone of radius 11 and height 60?

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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.