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 ...
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Question
![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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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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