1. approximate integral of e^(1/x) with lower limit 1 and upper limit 2 dx using

Question

1. approximate integral of e^(1/x) with lower limit 1 and upper limit 2 dx using the midpoint rule and n=4. Write out the terms of the sum, then finish the calculation.

2. Estimate the error in your approximation using the error formula for the Midpoint Rule.

3. What value of n would be necessary to make the error in the Midpoint Rule less than 0.001?

4. Use the NUMINT program on your calculator to find approximations using the value of n that you

determined in question #3 and write your results here:

Left endpoint:

Right endpoint:

Trapezoidal:

Midpoint:

Simpson

Explanation / Answer

integral of e^(1/x)/x^2 = - e^(1/x) + C

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