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(a) Find an approximate value for the integral / cos a dz using the Composite Simpson's rule with N = 2 correct to four decimal points. (b) Use the answer to part (a) and an appropriate trigonometrical identity to deduce an approximate value for : (1– cos(2r)) dr.

(a) Find an approximate value for the integral / cos a dz using the Composite Simpson's rule with N = 2 correct to four decimal points. (b) Use the answer to part (a) and an appropriate trigonometrical identity to deduce an approximate value for : (1– cos(2r)) dr.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Find an approximate value for the integral cos² x dx using the Composite Simpson's rule with N = 2 correct to four decimal points. (b) Use the answer to part (a) and an appropriate trigonometrical identity to deduce an approximate value for (1 – cos(2r)) dr.
Transcribed Image Text:(a) Find an approximate value for the integral cos² x dx using the Composite Simpson's rule with N = 2 correct to four decimal points. (b) Use the answer to part (a) and an appropriate trigonometrical identity to deduce an approximate value for (1 – cos(2r)) dr.
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