Question: The function f(x) is periodic with period 1 and is defined on [0, 1] by Sketch its graph and obtain the graph of for 4

The function f(x) is periodic with period 1 and is defined on [0, 1] by

f(x) = 1 0

Sketch its graph and obtain the graph of

g(x) = x f(t)dt 0

for –4 ≤ x ≤ 4. Show that g(x) is a periodic function of period 1.

f(x) = 1 0

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