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Calc 172 lab1b

# Calc 172 lab1b - For the second part of Lab 1 in Calculus...

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2. 0.752926 4. 0.392691 8. 0.196343 16. 0.0981707 32. 0.0490851 64. 0.0245425 128. 0.0122712 4. 0.0000124037 8. 3.84792.10 - 6 16. 1.02215.10 - 6 32. 2.5963.10 - 7 64. 6.51689.10 - 8 128. 1.63086.10 - 8 4. 4.7079.10 - 6 8. 1.80363.10 - 6 16. 5.02887.10 - 7 32. 1.29292.10 - 7 64. 3.25516.10 - 8 128. 8.15226.10 - 9 Trapezoid Rule Midpoint Rule For the second part of Lab 1 in Calculus 172, we were to approximate the integral r 0 p E^ H - x^2 L x using Right Hand Riemann Sums, Midpoint Sums, and Trapezoid Sums. Previously we had done so using the Left Riemann Sum method and are now testing these methods as comparisons. The purpose is to find out the approximation error with each technique, compare them, and then use our results to possibly find a fifth formula which can calculate our results even closer. Using the right hand rule gave us the results below. In this table, the left column shows the number of subintervals used and the right displays the equivalent approximation error for the defined number of subintervals. Our results are very similar to those gained from using the Left Hand rule. This is to be expected as the Right Hand method is merely a mirror of the other. But what can we expect with the trapezoid and midpoint value methods?

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