Find the indicated series by the given operation. Show that by integrating term by term the expansion of - 2х the result is the expansion for In (1- x2). 1- x2 S(-2x+ 2x3 - 25 + 2x7-.) 1 -...) dx = -x2 += x4 xb S(2x- 2x3. 25 - 2x7..) dx = x² . =x2 . 2 1 + 1 .. S(-2x- 2x3 - 2x5 – 2x7 -...) dx = -x² . x4 1.6 1 S2x+ 23 . 2x5 + 2x7..) dx = x² + (2x + 2x3 + 2x5 + 2x7. +...) dx 1 1 x4 + XO +. . .
Find the indicated series by the given operation. Show that by integrating term by term the expansion of - 2х the result is the expansion for In (1- x2). 1- x2 S(-2x+ 2x3 - 25 + 2x7-.) 1 -...) dx = -x2 += x4 xb S(2x- 2x3. 25 - 2x7..) dx = x² . =x2 . 2 1 + 1 .. S(-2x- 2x3 - 2x5 – 2x7 -...) dx = -x² . x4 1.6 1 S2x+ 23 . 2x5 + 2x7..) dx = x² + (2x + 2x3 + 2x5 + 2x7. +...) dx 1 1 x4 + XO +. . .
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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