2 16 (a) Evaluate the integral: dæ x² + 4 Your answer should be in the form kT, where k is an integer. What is the value of k? d 1 -arctan(x) dæ Hint: x? + 1 k (b) Now, let's evaluate the same integral using a power series. First, find the power series for the function 16 -. Then, integrate it from 0 to 2, and call the result S. S should be an infinite series. x2 + 4 f(x) = What are the first few terms of S? ao = ai = a2 az = a4 = I| || ||
2 16 (a) Evaluate the integral: dæ x² + 4 Your answer should be in the form kT, where k is an integer. What is the value of k? d 1 -arctan(x) dæ Hint: x? + 1 k (b) Now, let's evaluate the same integral using a power series. First, find the power series for the function 16 -. Then, integrate it from 0 to 2, and call the result S. S should be an infinite series. x2 + 4 f(x) = What are the first few terms of S? ao = ai = a2 az = a4 = I| || ||
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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