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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