Evaluate the following integral: (a) Analytically; (b) Single application of the trapezoidal rule; (c) Composite trapezoidal rule,

Question:

Evaluate the following integral:


(1 -x - 4.r + 2r) dx -2


(a) Analytically;

(b) Single application of the trapezoidal rule;

(c) Composite trapezoidal rule, with n = 2 and 4;

(d) Single application of Simpson's 1/3 rule;

(e) Simpson's 3/8 rule, and

(f) Boole’s rule. For each of the numerical estimates (b) through (f) determine the percent relative error based on (a).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

Question Posted: