alculate the integral 2x3 – 4x + 1 (1– cos x) dx 1+ x2 Tor n = 10 according Simpson rule for n = 10 according to Simpson rule. Assume the result of Simpson rule as the exact vale and calculate the absolute and relative errors arised from Simpson rule calculation according to this exact value (perform all calculations with 4 decimal precision and use radian for trigonometric components).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Calculate the integral
2x3 - 4x + 1
(1– cos x) dx
1+x2
for n = 10 according Simpson rule
for n = 10 according to Simpson rule.
Assume the result of Simpson rule as the exact vale and caleulate the absolute and
3
relative errors arised from Simpson rule calculation according to this exact value
(perform all calculations with 4 decimal precision and use radian for trigonometric
components).
Transcribed Image Text:Calculate the integral 2x3 - 4x + 1 (1– cos x) dx 1+x2 for n = 10 according Simpson rule for n = 10 according to Simpson rule. Assume the result of Simpson rule as the exact vale and caleulate the absolute and 3 relative errors arised from Simpson rule calculation according to this exact value (perform all calculations with 4 decimal precision and use radian for trigonometric components).
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