10) Please evaluate the following integral using 2 different methods.

10) Please evaluate the following integral using 2 different methods. (Similar to 8.5 #14)

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a. Make a graph of the integrand.

b. Use Simpson’s rule to get an answer. Show a screen shot.

https://www.mathauditor.com/simpsons-rule-calculator.html

c. Find a theoretical answer using the trig substitution x = 2 sin(u).

d. Does it look like the two answers match to within round off error? (yes or no)

e. Does the two answers look like the amount of area beneath the curve in your graph? (yes or no)

f. What is the theoretical answer when the upper limit is x = 2?

g. What happens when you try to put the upper limit of 1.57 in the Simpson’s rule calculator? (Note: Simpson’s rule cannot handle infinities.)

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