The function is .
(a) Show that for .
Consider .
The integral represents the area between the function and the -axis.
.
From the graph:
.
.
, for .
(b)
Graph the function as .
From the graph: .
(c)
Consider .
.
From part (a): .
.
Consider .
.
From part(b): .
.
Therefore, .
(d)
Consider .
.
.
.
By the squeeze theorem, .
(e)
Consider .
For , .
For , .
For , .
.
(a) , for .
(b)
Graph the function as .
(c) .
(d) .
(e)
For , .
For , .
For , .
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