Consider the following function. dx (a) Determine an appropriate trigonometric substitution. Use x = sin(0), where -505, since the integrand contains the expression 2 > Use x =tan(0), where - << 11 2 since the integrand contains the expression 3π so<2¹ Use x = sec(0), where 0 ≤ 0 < e0 ≤0 < =or x ≤0. since the integrand contains the expression (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. √√72 dx = √( tan²0seco | x do

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 32E
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Consider the following function

Consider the following function.
dx
(a) Determine an appropriate trigonometric substitution.
Use x = sin(0), where -505, since the integrand contains the expression
2
> Use x =tan(0), where - <<
11
2
Use x = sec(0), where 0 ≤ 0 <
dx =
e0 ≤0 <= or x ≤0.
since the integrand contains the expression
3π
so<2¹
since the integrand contains the expression
(b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral.
TR
-/(E
tan¹0 sec 0 x
do
Transcribed Image Text:Consider the following function. dx (a) Determine an appropriate trigonometric substitution. Use x = sin(0), where -505, since the integrand contains the expression 2 > Use x =tan(0), where - << 11 2 Use x = sec(0), where 0 ≤ 0 < dx = e0 ≤0 <= or x ≤0. since the integrand contains the expression 3π so<2¹ since the integrand contains the expression (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. TR -/(E tan¹0 sec 0 x do
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