Question

please check the question 5 on PART II of the attachment and please tell me what am I doing wrong on my answer, compare to exact answer that is given into question 5.

Answer 1

Here is the output of a short matlab routine
N 4 0.97821911
N 8 0.97750347
N 12 0.97746179
N 16 0.97745471
N 20 0.97745277
N 24 0.97745207
N 28 0.97745178
N 32 0.97745163
N 36 0.97745155
N 40 0.97745151

According to wolfram
http://www.wolframalpha.com/input/?i=int_0%5Esqrt%7Bpi%2F2%7D+cos(t%5E2)+dt

the integral is
0.97745142429132974305862...

I don't know where they got their answer of 1.22505, as specified in the question.

Answer 2

thank you for your answer