Answered: 3. Verify the result shown using… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Please answer the question with explanation..i'll give you multiple upvote.

Let f(x) be a function of variable x defined on an interval 0 to T. It can be represented
by the Fourier series, given by
{(2) = +Ean
2nn
(2nt
+> an cos
T *) + b, sin
T
where
(2nn
2na
f(u)du, an
( (u) cos (u) du, b. =
-и) du, bn
T
I f(u) sin
ao =
-u) du.
Answer the following questions.
3. Verify the result shown using 'integration by parts'.
1
1
| t sin(nt) dt = --
t cos(nt) +
sin(nt)
n2
n

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