Approximate Integration: Example 3: Midpoint Rule

In this video I go over another example on approximate integration and this time use the Midpoint Rule with 10 sub-intervals to approximate the integral of the function e^(x^2) from x = 0 to x = 1. In fact there is no exact integral solution of this function and thus approximations are the only way to evaluate the integral. In this example I also go over the upper error bound for the approximation to see how accurate our approximation is with the midpoint rule.

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Related Videos:

Approximate Integration: Example 2: Accuracy: http://youtu.be/D9l2o-UiRLE Approximate Integration: Midpoint Rule Error Bound: Proof: http://youtu.be/aKUFHXNeW7Y Approximate Integration: Example 1: 1/x: http://youtu.be/DTzZ1jz6OOg Approximate Integration: Accuracy and Error Bounds: http://youtu.be/WTdNktL_1Uc Approximate Integration: Trapezoidal Rule Error Bound: Proof: http://youtu.be/_mrSHIin7Mw Integration by Parts: Integration Constants: http://youtu.be/jJ-RJTNMy4s Evaluating Integrals - Midpoint vs Right Endpoint Approximations Comparison: http://youtu.be/3x3sF7P9xfY .

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