(a) Let f(x) = 2 (3x² + 10iz - 3)² (i) Show that f has a pole of order 2 at the point -i/3, and evaluate the residue of f at -i/3. (ii) Use the strategy for evaluating real trigonometric integrals and the result from part (a)(i) to deduce that r2π So 1 (3 sint + 5)2 dt = 5T 32
(a) Let f(x) = 2 (3x² + 10iz - 3)² (i) Show that f has a pole of order 2 at the point -i/3, and evaluate the residue of f at -i/3. (ii) Use the strategy for evaluating real trigonometric integrals and the result from part (a)(i) to deduce that r2π So 1 (3 sint + 5)2 dt = 5T 32
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 79E
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