Given the function y=2x^3-3x^2. Find the average value of the function over the interval (-1,3)
1 answer:
Answer:
Average value of the function over the interval is 3.
Step-by-step explanation:
Average value of the function y = 2x³ - 3x² over the interval (-1, 3) will be defined by the area under curve for the given interval divided by width of the interval.
A =
=
=
=
=
=
= 12
Width of the interval = 3 - (-1) = 4
Average value =
Therefore, average value of the function over the given interval is 3.
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