$\"\"$

\

The function is continuous on $\"\"$ .

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The number of subintervals are $\"\"$ .

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Trapezoidal rule:

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Consider function $\"\"$ .

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Graph the function: $\"\"$ .

\

$\"\"$ .

\

Observe the graph:

\

The area of the function using trapezoidal rule is $\"\"$ .

\

$\"\"$

\

Graph the function: $\"\"$ .

\

$\"\"$ .

\

Observe the graph:

\

The area of the function using trapezoidal rule is $\"\"$ .

\

$\"\"$

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The integral is $\"\"$

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$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$ .

\

The trapezoidal is more accurate than midpoint rule.