Use the limit method (the number of subintervals or rectangles are getting infinite) to find the area of the region bounded by the graph and the x-axis or y-axis.

Question

f(x)=2x^3 -x^2 and the x-axis. x[1,4].

I solved this problem using the limit method and got 84 units, but I know it's wrong because the integral turns out to be 106.5. I tripled check my work but cant find any calculation mistakes, so I'm not sure how to proceed.

Answer 1

Visit the following Desmos graph and use the slider on n to see the Riemann Sum approach 106.5.

desmos.com/calculator/v81isajx1x

Answer 2