Find the area of the region under the graph of the function f on the interval [-1, 2].

Question

f(x) = 6x + 1

bound by the x axis

Answer 1

Peter, if you are the "anonymous" of
http://www.jiskha.com/display.cgi?id=1291829564
you did not follow my instructions.

the line crosses at x = -1/6, so if the x-axis is the boundary, there are 2 different triangles to consider

left triangle:
base = 5/6
height = 5, Area = (1/2)(5/6)(5) = 25/12

right triangle:
base = 13/6
height = 13 , Area = (1/2)(13/6)(13) = 169/12

total = 25/12 + 169/12 = 97/6