Let f be a differentiable function with the following values: X 0 1 f(x) 5 8 f'(x) 4 11 (a) After substitution, which of the following integrals is equivalent to 11 6² O- sin(u) du sin(u) du sin(u) du '8 -6₁² sin(u) du Evaluate the integral. Give an exact answer. (b) After substitution, which of the following integrals is equivalent to of F'(W) (π/2 f'(u) du f'(u) du - [ - √5/²2 f π/2 f'(u) du f'(u) du Evaluate the integral. Give an exact answer. [² F"(x f'(x).sin(f(x)) dx? π/2 sinx-f '(cosx) dx?
Let f be a differentiable function with the following values: X 0 1 f(x) 5 8 f'(x) 4 11 (a) After substitution, which of the following integrals is equivalent to 11 6² O- sin(u) du sin(u) du sin(u) du '8 -6₁² sin(u) du Evaluate the integral. Give an exact answer. (b) After substitution, which of the following integrals is equivalent to of F'(W) (π/2 f'(u) du f'(u) du - [ - √5/²2 f π/2 f'(u) du f'(u) du Evaluate the integral. Give an exact answer. [² F"(x f'(x).sin(f(x)) dx? π/2 sinx-f '(cosx) dx?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let f be a differentiable function with the following values:
X
0 1
f(x)
5 8
f'(x) 4 11
(a) After substitution, which of the following integrals is equivalent to
11
sin(u) du
["
6² sin(u) du
1³
sin(u) du
8
-fº
O-
sin(u) du
Evaluate the integral. Give an exact answer.
(b) After substitution, which of the following integrals is equivalent to
off"F"c
(π/2
f'(u) du
f'(u) du
0-1²
f'(u) du
π/2
f'(u) du
Evaluate the integral. Give an exact answer.
L'e
f'(x).sin(f(x)) dx?
π/2
sinx.f '(cosx) dx?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3f59171-6764-439c-9e53-e951734ad0cd%2F86178893-4cb0-42a1-a6f6-6fc05175e731%2F5pu7gw9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f be a differentiable function with the following values:
X
0 1
f(x)
5 8
f'(x) 4 11
(a) After substitution, which of the following integrals is equivalent to
11
sin(u) du
["
6² sin(u) du
1³
sin(u) du
8
-fº
O-
sin(u) du
Evaluate the integral. Give an exact answer.
(b) After substitution, which of the following integrals is equivalent to
off"F"c
(π/2
f'(u) du
f'(u) du
0-1²
f'(u) du
π/2
f'(u) du
Evaluate the integral. Give an exact answer.
L'e
f'(x).sin(f(x)) dx?
π/2
sinx.f '(cosx) dx?
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