3(a) Integrate x ln(x + 1)dx analytically; and numerically using (b) trapezoidal rule with iterations where0n = 6, (c) Simpson's 1/3 rule with iterations where n = 6, and (d) Simpson's 3/8 rule. For each of thenumerical estimates (b) through (d), determine the percent relative error based on (a).

As per the rules we can solve only 3subparts per questions so I'm solving a,b,c

Answered: (a) Integrate x ln(x + 1)dx…

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) Integrate x ln(x + 1)dx analytically; and numerically using (b) trapezoidal rule with iterations where 0 n = 6, (c) Simpson's 1/3 rule with iterations where n = 6, and (d) Simpson's 3/8 rule. For each of the