Consider the following function. x³ √√²-2² 36 dx (a) Determine an appropriate trigonometric substitution. π Use x = 6 sin(8), where - SO≤ 2 Use x = 6 tan(8), where π 2 TL ST 2 π O Use x = 6 sec (0), where 0 ≤ 0 <- since the integrand contains the expression √6²-x². 플 since the integrand contains the expression √6² - x². 3π orn S or π ≤ 0 < 37, since the integrand contains the expression √√6² - x². (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. x³ √√²--|( dx = /([ 36 de

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following function.
x³
36
dx
(a) Determine an appropriate trigonometric substitution.
π
Use x = 6 sin(8), where - SOS-
2
Use x = 6 tan(8), where
π
2
TU
ST
2
π
O Use x = 6 sec (0), where 0 ≤ 0 <-
since the integrand contains the expression √6²-x².
플
since the integrand contains the expression √6² - x².
3π
orn S
or π ≤ 0 < 37, since the integrand contains the expression √√6² - x².
(b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral.
x³
√√²--|(
dx =
/([
36
de
Transcribed Image Text:Consider the following function. x³ 36 dx (a) Determine an appropriate trigonometric substitution. π Use x = 6 sin(8), where - SOS- 2 Use x = 6 tan(8), where π 2 TU ST 2 π O Use x = 6 sec (0), where 0 ≤ 0 <- since the integrand contains the expression √6²-x². 플 since the integrand contains the expression √6² - x². 3π orn S or π ≤ 0 < 37, since the integrand contains the expression √√6² - x². (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. x³ √√²--|( dx = /([ 36 de
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