Evaluate the following integral: where a > 0. Hint: First, evaluate the following integrals a. -1/a ezt-az Second, use their values to evaluate the given definite integral. b. C. d. e. Of. In ¹(² 1 In (2 2a 1 In 2a -In 1+eª eª te-ª ea-e (0²-0 g. None e te-ª e-e-l e+e-1 11n (+1) e²+1 1 In (241) 1/a di -1/a ez +1¹ da and Hap -1/a 2+1 dz.
Evaluate the following integral: where a > 0. Hint: First, evaluate the following integrals a. -1/a ezt-az Second, use their values to evaluate the given definite integral. b. C. d. e. Of. In ¹(² 1 In (2 2a 1 In 2a -In 1+eª eª te-ª ea-e (0²-0 g. None e te-ª e-e-l e+e-1 11n (+1) e²+1 1 In (241) 1/a di -1/a ez +1¹ da and Hap -1/a 2+1 dz.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 9RE
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Question
Transcribed Image Text:Evaluate the following integral:
where a > 0.
Hint: First, evaluate the following integrals
a.
J-1/a euz+e-az
Second, use their values to evaluate the given definite integral.
b.
C.
d.
e.
f.
11n (1
n(
In
-In
2a
In(
2a
In
1-eª
1+ea
g. None
ea
-e
eª te-a
eª -e
¹1n (
ea te-a
e-e-1
ete-1
e²+1
1 In (2+1)
2a
1/a dx
-1/a ea +1'
-az
e da and
ex
-1/a ²x+1
da.
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