Question
Exercise 5: Some weird integral problems. Solve at least three; the remaining three are challenge ones.
x* sin°(x)
(a)
(b) Suppose f(x) = f(2x) for all x E R. Suppose also
f(x) dx = 1. Find:
f(x) dx.
5x3 – 4x
(c)
|-3 x sin(x)Vª +1
dx
T/2
sin x
(d)
dx
sin x + cos x
Expand
Transcribed Image Text

Exercise 5: Some weird integral problems. Solve at least three; the remaining three are challenge ones. x* sin°(x) (a) (b) Suppose f(x) = f(2x) for all x E R. Suppose also f(x) dx = 1. Find: f(x) dx. 5x3 – 4x (c) |-3 x sin(x)Vª +1 dx T/2 sin x (d) dx sin x + cos x

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