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"9. Estimate the definite integral S sinx dx by com- puting the trapezoid rule, using 800 points in the interval The integrand is defined to be 1 at x = 0The function is decreasing, and this fact should be shown by calculus. (For a decreasing function f, f, .) Note: The function Si(x)-sin t dt 0 is an important special function known as the sine inte- gral. It is represented by a Taylor series that converges for all real or complex values of x. The easiest way to obtain this series is to start with the series for sin t, divide by t, and integrate term by term Si(x) = 1-1 sin t dt = dt 2n+1 18 600 35280