The antiderivative of y = e ^-x2/2 (graphed below) is not expressible in terms of elementary functions. But we can use numerical methods to estimate a definite integral such as.

a) Estimate using the Trapezoid rule with n = 50. Report your estimate to 6 decimal places. You should use technology to evaluate the sum (I would suggest "www.wolframalpa.com") where if you type ? sum of f(i) from I = 1 to I = 50? the value of ⁵⁰ _{I =1} ? f(i) is computed for you!

b) Estimate

using the Simpson?s rule with n = 10. Report your estimate to 6 decimal places. You are encouraged to use technology to help in the calculation.

Transcribed Image Text:

fo e-²/2 dx. 0 -2 -1 i 0.8 0.6 0.4 0.2 -0.2 //// 2 fo e-²/2 dx. 0 -- Jo е e-1²/2 ≈xp dx fo e-²/2 dx. 0 -2 -1 i 0.8 0.6 0.4 0.2 -0.2 //// 2 fo e-²/2 dx. 0 -- Jo е e-1²/2 ≈xp dx

Answer rating: 100% (QA)

0855624 a Trapezoidal rule ... View the full answer