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Determine the average value of y=2x+3 in...

Determine the average value of `y=2x+3` in the interval `0 le x le 1`.

A

1

B

5

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
4
`y_(av)= (overset(1)underset(0)(int)ydx)/(1-0)= overset1underset0int(2x+3)dx = [2 ((x^(2))/(2))+3x]_(0)^(1)= 1^(2) + 3(1) -0^(2) -3(0) = 1+3=4`
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