SOLUTION: What is the area (in square units) of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3? a. 10 b. 12 c. 14 d. 16 e. 18

Question 1179688: What is the area (in square units) of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3?
a. 10
b. 12
c. 14
d. 16
e. 18

Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
.


This shape is a trapezoid with one base (vertical) of f(1) = 1+3 = 4 units at x=1

and the other base (vertical) of f(3) = 3+3 = 6 units at x=3.


The height of the trapezoid is  3-1 = 2 units long (horizontally).


To find the area, apply the formula for the trapezoid area


    AREA =  = 4 + 6 = 10 square units.      ANSWER

Solved, answered and explained.

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