(a) Use an appropriate trigonometric substitution to re-write the definite integral I = - 1 dr. 3/2 That is, make a trigonometric substitution and write 1 = Odo (fill in the blanks and simplify the integrand), but do not attempt to evaluate the integral. (b) [Not related to part (a).] Suppose we start with some indefinite integral | f(2) dar, J = and make the trigonometric substitution x = tan 6 (-7/2 < 0 < T/2), to end up with J = (sin? 0) de. Complete the evaluation of J. Your final answer should be in terms of x. 99 % ASUS VivoBook
(a) Use an appropriate trigonometric substitution to re-write the definite integral I = - 1 dr. 3/2 That is, make a trigonometric substitution and write 1 = Odo (fill in the blanks and simplify the integrand), but do not attempt to evaluate the integral. (b) [Not related to part (a).] Suppose we start with some indefinite integral | f(2) dar, J = and make the trigonometric substitution x = tan 6 (-7/2 < 0 < T/2), to end up with J = (sin? 0) de. Complete the evaluation of J. Your final answer should be in terms of x. 99 % ASUS VivoBook
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please help me to get a correct answer.
![0:15:0
(a) Use an appropriate trigonometric substitution to re-write the definite integral
Va2 – 1
dr.
I =
r3/2
That is, make a trigonometric substitution and write
I =
O do
(fill in the blanks and simplify the integrand), but do not attempt to evaluate the integral.
(b) [Not related to part (a).] Suppose we start with some indefinite integral
J =
f(2) dar,
and make the trigonometric substitution
x = tan 0 (-1/2 < 0 < T/2),
to end up with
%(sin" 0) do.
J =
Complete the evaluation of J. Your final answer should be in terms of x.
99 %
ASUS VivoBook](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8e02c1a-02bb-41ff-927c-a855c043e14b%2F1c6ce25d-3093-4adb-b1c8-1ddfffaae15f%2F3hed9ea_processed.jpeg&w=3840&q=75)
Transcribed Image Text:0:15:0
(a) Use an appropriate trigonometric substitution to re-write the definite integral
Va2 – 1
dr.
I =
r3/2
That is, make a trigonometric substitution and write
I =
O do
(fill in the blanks and simplify the integrand), but do not attempt to evaluate the integral.
(b) [Not related to part (a).] Suppose we start with some indefinite integral
J =
f(2) dar,
and make the trigonometric substitution
x = tan 0 (-1/2 < 0 < T/2),
to end up with
%(sin" 0) do.
J =
Complete the evaluation of J. Your final answer should be in terms of x.
99 %
ASUS VivoBook
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