Question: a. Use Simpsons Rule to approximate using two subintervals (n = 2); compare the approximation to the value of the integral. b. Use Simpsons Rule
a. Use Simpson’s Rule to approximate
using two subintervals (n = 2); compare the approximation to the value of the integral.
b. Use Simpson’s Rule to approximate
using four subintervals 1n = 42; compare the approximation to the value of the integral.
c. Use the error bound associated with Simpson’s Rule given in Theorem 7.2 to explain why the approximations in parts (a) and (b) give the exact value of the integral.
d. Use Theorem 7.2 to explain why a Simpson’s Rule approximation using any (even) number of subintervals gives the exact value of
where f(x) is a polynomial of degree 3 or less.
- 3 dx Jo x dx
Step by Step Solution
3.40 Rating (156 Votes )
There are 3 Steps involved in it
a The exact value is da values match exactly b S4 04128427 64 64 This also matc... View full answer
Get step-by-step solutions from verified subject matter experts
Study Help