The integral is .
Consider .
In this case .
Width .
Substitute and
.
.
.
Calculate the at the interval boundaries.
Trapezoidal rule :
\.
Substitute to
values.
.
.
The integral is .
Apply formula: .
.
The actual vaulue of integral is .
Graph the function .
.
Observe the graph:
\The number of parts above the -axis and below the
-axis are equal and cancelled.
Therefore, the actual value is .
.
The actual vaulue of integral is .
The number of parts above the -axis and below the
-axis are equal and cancelled.