Homework for Chapter 7.2: Trigonometric Integrals
COMMON ERRORS ON THIS HOMEWORK:
* not graphing when the problem statement says to graph (Questions 67, 68, A, B)
As usual, you only need to turn in the ones whose answers
aren't in the back of the book, except as noted.
There is only one place on this homework you should use Integration By Parts:
on one part of #56.
Everywhere else, you should avoid integration by parts
and use trig identities instead.
There are many opportunities in this homework to use one of our favorite
shortcuts: the integral of a pure sine or cosine wave over one or more
full periods is zero.
This saves a lot of trouble!
But you can only
apply it to _pure_ sine or cosine waves.
sin^2 doesn't count, sin*cos
doesn't count, etc.
Of course, you can also apply another shortcut: the integral from a to +a
of a function that has "odd" symmetry is zero.
45: integral of sin(5x) sin(x) dx
56: integrating in various ways and comparing.
Add part (e): explain how each answer is correct even if
it differs from the others. (mandatory!)
66: household electricity
For 6769,
a) graph the integrand at a variety of values for m and n.
b) Describe any symmetry you see that might help you prove the
various things that the problems ask you to prove.
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 '08
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 Trigonometry, Integrals, Wind speed, total energy output

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