1. Given that S² dx 1+x² = tan¹ x = = expand the integrand into a series and integrate term by term obtaining TT 1 1 1 1 = 1 ..+ (−1)¹. 1 2n + 1 +== + --- 3 5 + 4 which is Liebniz's formula for π. TT ...
1. Given that S² dx 1+x² = tan¹ x = = expand the integrand into a series and integrate term by term obtaining TT 1 1 1 1 = 1 ..+ (−1)¹. 1 2n + 1 +== + --- 3 5 + 4 which is Liebniz's formula for π. TT ...
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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Transcribed Image Text:1. Given that
S²
dx
1+x²
= tan¹ x = =
expand the integrand into a series and integrate term by term obtaining
TT
1 1 1 1
= 1
..+ (−1)¹.
1
2n + 1
+== + ---
3 5
+
4
which is Liebniz's formula for π.
TT
...
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