SOLUTION: Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = -x^3 and y = -x.
Algebra.Com
Question 1119908: Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = -x^3 and y = -x.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You didn't give limits so I'll make my own.
You can modify the solution as needed.
.
So find the area between and .
The four regions are from
to
to
to
to
Find the difference of the functions at the midpoints,
So,
Sum the differences and multiply by the step in x ,
RELATED QUESTIONS
find the area of the region bounded by two axes and the line... (answered by Fombitz)
Find the area or the region bounded by the curves y = x^3 and y =... (answered by math_helper)
Find the area of the region bounded by the graphs of y = x, y = −x + 4, and y =... (answered by Fombitz)
Find the area of the region bounded by the y-axis, x-axis and the line y=−2x+4.
(answered by math_helper,MathLover1)
Find the area of the region bounded by x = y3 , x+y=2 , y... (answered by Alan3354)
Find the area of the region bounded by the two curves.
y = x^2 + 3
y = 7x + 3 (answered by fractalier)
Find the area of the region bounded by the x and y axes and the line y= 2x... (answered by sachi)
Please help me solve this question:
Find the area of the region bounded by the curves... (answered by Fombitz)
Find the area of the region bounded by y = x^3, the x-axis, the y-axis and the line x =... (answered by Edwin McCravy)