Question

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = x^3 - 3x^2 + 2x and the x-axis?

Answer 1

from 0 to 1 + 1 to 2

Answer 2

I think desmos will be better calculator for graphing
http://prntscr.com/barfck
and keep in mind that the area above the x-axis is positive and below the x-axis, the area is negative.

Answer 3

ok thanks would it be \[2 \int\limits_{0}^{1}(x^3-3x^2+2x)dx\] ?

Answer 4

that would give you the area above the x axis only

Answer 5

I think your first choice was correct. 2 times area from 0 to 1

Answer 6

ok thank you!