SOLUTION: Find the exact area of the region below the graph of y=-x^2+3x+4 above the x axis and between the lines x=-1 and x=4 by taking the limit of a riemann sum.Please.

Question 999937: Find the exact area of the region below the graph of y=-x^2+3x+4 above the x axis and between the lines x=-1 and x=4 by taking the limit of a riemann sum.Please.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Using a step size of 0.2,
Xi, Yi
-0.9, 0.49
-0.7, 1.41
-0.5, 2.25
-0.3, 3.01
-0.1, 3.69
0.1, 4.29
0.3, 4.81
0.5, 5.25
0.7, 5.61
0.9, 5.89
1.1, 6.09
1.3, 6.21
1.5, 6.25
1.7, 6.21
1.9, 6.09
2.1, 5.89
2.3, 5.61
2.5, 5.25
2.7, 4.81
2.9, 4.29
3.1, 3.69
3.3, 3.01
3.5, 2.25
3.7, 1.41
3.9, 0.49

Multiplying by the sum,

In the limit,
RELATED QUESTIONS
If R is a region between the graphs of the function f(x)=sinx and g(x)=cosx over the... (answered by Alan3354,ikleyn)

find the area of the region between the graph of y = x^3 and the x-axis from x = 1 to x (answered by solver91311)

find the area of the region between the graph of y = x^3 and the x-axis from x= 1 to x=... (answered by Alan3354)

Find the area of the region bounded by the x-axis , the lines y=x and x=2 and the curve... (answered by Fombitz)

Find the area of the region in the xy - plane under the line y = x/2 above the x-axis,... (answered by Alan3354,josgarithmetic,MathLover1)

Find the area of the region bounded by the graph of the function f(x)= -(1/x+4) and the x (answered by solver91311)

Find the area of the region bounded by the y-axis, x-axis and the line y=−2x+4. (answered by math_helper,MathLover1)

Consider the function {{{f(x) = sqrt(4-x^2)}}} Hint: This is the upper half of a... (answered by KMST)

Find the area of the region bounded by the y-axis, x-axis and the line x = x^4-5x^2+4. (answered by Boreal,ikleyn)