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44

Step-by-step Answer
PAGE: 543SET: ExercisesPROBLEM: 44
Please look in your text book for this problem Statement

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.



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