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Chapter 12: Q9-4P (page 562)

Expand the following functions in Legendre series.

f(x)=arcsinx

Short Answer

Expert verified

Step by step solution

01

Concept of Legendre polynomial

02

Simplify the expression

03

Substitute for the value of   

2c0=鈭�-11sin-1xP0(x)dx2c0={xsin-1x-鈭�x1-x2dx}-11c0=0

04

Substitute for the value of m=1

05

Substitute for the value of m=2

06

Substitute for the value of m=3

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