Posted by **bri** on Tuesday, November 27, 2012 at 12:05am.

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?

10

12

14

16

18 ?

- CALCULUS -
**Steve**, Tuesday, November 27, 2012 at 12:09am
even without calculus, since this is just a trapezoid with bases 4 and 6, height 2.

5*2 = 10

now, using calculus, integrate under the curve, from 1 to 3

integral[1,3] x+3 dx

= x^2/2 + 3x [1,3]

= (9/2 + 9) - (1/2 + 3) = 10

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