Question

calc question

Answer 1

@ProfessorFeynmann??

Answer 2

@freckles

Answer 3

@AloneS

Answer 4

the first step is sketch the region. can you do that ?

Answer 5

The next step is divide the region into four equal widths.
find the mid-point of each width.
find the height from x^3 up to x.
use that height and the width to find the area of a rectangle.
do that for the 4 rectangles.
add up the 4 areas

Answer 6

here is the graph

Answer 7

im not sure how to do the next steps you just explained. @phi

Answer 8

I would find the area from x=0 to x=1

Answer 9

make a mark at x= 0.25, x= 0.5 , and x= 0.75
so you have intervals
0 0.25
0.25 0.5
0.5 0.75
0.75 1.00
those will be the widest of 4 rectangles.

the heights of the rectangle will be measured at the middle points of those widths
example: first interval's middle points is at (0+0.25)/2 = 0.125

Answer 10

*those will be the widths of the 4 rectangles