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

Verified by Experts

The correct Answer is:

D

`y_(av)=(int_(0)^(1)ydx)/(1-0)=int_(0)^(1)(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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