i need 2 and 3 both. Don't provide only 1. 2. Using m-6 steps, estimate the value of the definite integralI=4| (2r3 +x + 1)dr(a) Using the Simpson's rule(b) Calculate the exact value of the integral by analytical means.3. Find:(a) f"(x)wheref(x) = e1 - e-4z(b) f(iv)(x)wheref (x)(c) So" ue t dt%3D100e-0.5z%3D-1/µ

Simpson's 3/8 Rule:- Simpson's 1/3 Rule:-

Answered: 2. Using m-6 steps, estimate the value…

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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2. Using m-6 steps, estimate the value of the definite integral | (2r3 +r + 1)dr I=1 (a) Using the Simpson's rule (b) Calculate the exact value of the integral by analytical means. 3. Find: (a) f"(x)wheref(x) = e4 - e-4z (b) f(iv)(x)wheref (x) (c) So" ue t dt %3D 100 -0.5z %3D r1/µ