What is the average value of the function on the interval ?
Answer and explanation
Correct answer: A.
- Step 1: Recall the formula for the average value of a function: .
- Step 2: Here and , so .
- Step 3: Evaluate the integral: .
- Step 4: Multiply by : .
Answer
.
Why not the others: '3' computes the definite integral without dividing by the interval length ; '0' evaluates ; '2' averages the endpoint values .
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