ECE 1574 Week7 Lab.pdf

# ECE 1574 Week7 Lab.pdf - ECE1574 Problem Solving for...

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Your Assignment: Approximate the value of pi to 12 decimal places by integrating the function f(x)=(4/(1+x^2)) over the interval (0,1). Use the trapezoidal method, which is illustrated at the end of the lecture slides. Report your calculated approximation of pi and the number of sub-intervals (n) that you used to get the answer. You can use cout statements to have the program display the information on the screen. Hint: How many sub-intervals will you need to get the precision that you want? You can start with few intervals (say two) and increase (to four, eight, etc.) until the solution has the desired precision. Each sub-interval will form a trapezoid. The width of the trapezoid is the width of the sub-interval. Each sub-interval will have the same width because you are going to divide the (0,1) interval into n equal widths. If you follow the hint, you will first set n equal to 2, then increase n to 4, 8, etc. The width of each sub-interval will be the same (1/n).
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• Spring '08
• Equals sign, boundary points

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