Need step by step explanation 3. Complete the following informal derivation of the Maclaurin series for sin- a.(a) Use the substitution tsin u to show that%3DsinxdtVI- t?(b) Now, expand the following expression by the binomial series (up to tô ):(1 – t²)-1/2V1- t2(c) Finally, use term-by-term integration from 0 to x, with respect to t, onthe series obtained in part (b) above to obtain the required series:1sinx = x +3+...40112

Introduction: When the index of a binomial term is negative real number, in that case, we follow the…

Answered: 3. Complete the following informal…

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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3. Complete the following informal derivation of the Maclaurin series for sin-1 x. (a) Use the substitution t = sin u to show that %3D 1 dt V1- t? sinx