1 (a) Use the trigonometric substitution x=5 tan 0 to calculate the indefinite integral dx. Show your work. (x² + 25)3/2 1 -dæ , or show that it diverges. Show your work. (b) Calculate the improper integral (x² + 25)3/2 Show and explain ALL your work (Step by Step)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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kindly show all of the work step-by-step, thank you
1
(a) Use the trigonometric substitution x=5 tan 0 to calculate the indefinite integral
-dx. Show your work.
(2² + 25)3/2
1
-dæ , or show that it diverges. Show your work.
(b) Calculate the improper integral
(x² + 25)3/2
Show and explain ALL your work (Step by Step)
Transcribed Image Text:1 (a) Use the trigonometric substitution x=5 tan 0 to calculate the indefinite integral -dx. Show your work. (2² + 25)3/2 1 -dæ , or show that it diverges. Show your work. (b) Calculate the improper integral (x² + 25)3/2 Show and explain ALL your work (Step by Step)
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