1. For the integral I = S' 10x15 dx, do the following. a. Find the exact valuc of I using the fundamental theorem of calculus. What happens to “+ C" from the indefinite Integral? b. Sketch a graph that shows an upper sum with n = 5 increments for this integral. c. Find U, L, and the average of thcse two sums. Docs the average overestimate or underestimate the integral? Explain.

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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.