Estimate ∫0^1 cos(x^2) d x using (a) the Trapezoidal Rule and (b) the Midpoint Rule, each with n=4. From a graph of the integrand, decide whether your answers are underestimates or overestimates. What can you conclude about the true value of the integral? | Numerade
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Find the area under the semicircle y=√(4-x^2) and above the x -axis by using n=8 with the following methods. (a) The trapezoidal rule (b) Simpson's rule (c) Compare the results with the area found by the formula for the area of a circle. Which of the two approximation techniques was more accurate? | Numerade
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