Compute S arctan(x²) dx. Write the answer as an infinite series. Does this 0 series seem to converge? Why, or why not?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer the following question for the given series; 

arctan(x)
=
(−1)n
Στη+1
2n + 1
n=0
x2n+1
= X
13
μέρος
+
+.
Transcribed Image Text:arctan(x) = (−1)n Στη+1 2n + 1 n=0 x2n+1 = X 13 μέρος + +.
Compute
S arctan(x²) dx. Write the answer as an infinite series. Does this
0
series seem to converge? Why, or why not?
Transcribed Image Text:Compute S arctan(x²) dx. Write the answer as an infinite series. Does this 0 series seem to converge? Why, or why not?
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