dx 4 2 +3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 31E
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Question

Solve the given integral below using trigonometric substitution. Follow and base how on the example given.

dx
x /x² +3
Transcribed Image Text:dx x /x² +3
( sec &de
tan ? e
dy
2 sec? ede
1
y² V4 +
22 tan? e- 2 sec e
2
Solution.
cos? ede
y = 2 tan e, dy = 2 sec² &de
1
cos e
sin ? e
tan e
| cot e csc ede
%3D
Let
csc e+C
4
V4 +y?
J4 +y²
+C
4+y²
+C
2
4y
Transcribed Image Text:( sec &de tan ? e dy 2 sec? ede 1 y² V4 + 22 tan? e- 2 sec e 2 Solution. cos? ede y = 2 tan e, dy = 2 sec² &de 1 cos e sin ? e tan e | cot e csc ede %3D Let csc e+C 4 V4 +y? J4 +y² +C 4+y² +C 2 4y
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