With a programmable calculator or computer (see the instructions for Exercise 7 in Section 5.1), compute the

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With a programmable calculator or computer (see the instructions for Exercise 7 in Section 5.1), compute the left and right
Riemann sums for the function f(x) = sin(x2) on the interval [0, 1] with n = 100. Explain why these estimates show that

Deduce that the approximation using the Midpoint Rule with n = 5 in Exercise 11 is accurate to two decimal places.

0.306 < sin(x*) dx < 0.315
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