Calculate the integral2x3 - 4x + 1(1– cos x) dx1+x2for n = 10 according Simpson rulefor n = 10 according to Simpson rule.Assume the result of Simpson rule as the exact vale and caleulate the absolute and3relative errors arised from Simpson rule calculation according to this exact value(perform all calculations with 4 decimal precision and use radian for trigonometriccomponents).

Step:-1 Simpson's 13 Rule:- ∫ab fxdx=h3 fx0 +4 fx1+fx3+....+fxn-1+ 2 fx2+fx4+....+fxn-2 + fxn Here,…

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).

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).

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter58: Achievement Review—section Five

Section: Chapter Questions

Problem 30AR: Determine dimension x to 3 decimal places.

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