numerical 2 lecture participation: problem 1 (2 points)\n\n$i = \\int_{-2}^{2}\\sqrt{4 - x^{2}}dx$\n\na…

numerical 2 lecture participation: problem 1 (2 points)\n\n$i = \\int_{-2}^{2}\\sqrt{4 - x^{2}}dx$\n\na. approximate $i$ with the trapezoid rule and $n = 4$.\n$i\\approx$\n\nb. approximate $i$ with simpsons rule and $n = 4$.\n$i\\approx$\n\nc. find the exact value of the integral.\n$i=$\n\nnote: you can earn partial credit on this problem.

numerical 2 lecture participation: problem 1 (2 points)\n\n$i = \\int_{-2}^{2}\\sqrt{4 - x^{2}}dx$\n\na. approximate $i$ with the trapezoid rule and $n = 4$.\n$i\\approx$\n\nb. approximate $i$ with simpsons rule and $n = 4$.\n$i\\approx$\n\nc. find the exact value of the integral.\n$i=$\n\nnote: you can earn partial credit on this problem.

Answer

Answer:

(a) 6.4375 (b) 6.2833 (c) ( 2\pi )