Exercise 1. Use the Maclaurin series of tan-¹(u) tan ¹ (u) =U- to approximate the definite integral with an error of no more than 0.0000001. u³ U² + 3 5 u⁹ + 7 9 7 U 0.1 [0.3+ tan ¹(x²) dx U 11

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 67E
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Exercise 1. Use the Maclaurin series of tan-¹(u)
tan-¹ (u) =U-
to approximate the definite integral
with an error of no more than 0.0000001.
u³ U²
+
3 5
0.1
[0.3+
u⁹
+
7 9
7
U
tan-¹(x²) dx
U
11
+
Transcribed Image Text:Exercise 1. Use the Maclaurin series of tan-¹(u) tan-¹ (u) =U- to approximate the definite integral with an error of no more than 0.0000001. u³ U² + 3 5 0.1 [0.3+ u⁹ + 7 9 7 U tan-¹(x²) dx U 11 +
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At the end how did you solve the sum to get that result? 

I see you replace the x with 0.1 in the last step and I understand that the rest becomes zero when solving th integral, but what did you replace n with to solve the sum? 

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