Calculus
posted by Mike .
Calculate the Riemann sum of the area under the curve of f(x)=9x^2 between x=2 and x=3
The answer I come up with is 10/3, but when I solve using integrals, the answer I get is 100/3. Am I doing something wrong?

looks like a decimal place error, check that.
Here is what Worlfram says:
http://www.wolframalpha.com/input/?i=riemann+sum+9x%5E2+between+x%3D2+and+x%3D3
Respond to this Question
Similar Questions

Calculus
Integrals: When we solve for area under a curve, we must consider when the curve is under the axis. We would have to split the integral using the zeros that intersect with the axis. Would this be for all integrals? 
Calculus ll  Improper Integrals
Find the area of the curve y = 1/(x^3) from x = 1 to x = t and evaluate it for t = 10, 100, and 1000. Then find the the total area under this curve for x ≥ 1. I'm not sure how to do the last part of question ("find the the total … 
Math
Estimate the are under the curve f(x)=x^24x+5 on [1,3]. Darw the graph and the midpoint rectangles using 8 partitions. Show how to calculate the estimated area by finding the sum of areas of the rectangles. Find the actual area under … 
Math: Need Answer to study for a quizz. Help ASAP
Estimate the area under the curve f(x)=x^24x+5 on [1,3]. Darw the graph and the midpoint rectangles using 8 partitions. Show how to calculate the estimated area by finding the sum of areas of the rectangles. Find the actual area under … 
calculus(Lab)
Well, first graph the graph of f(x)=1/10x^2 + 3 2. We are going to approximate the area between f and the xaxis from x = 0 to x = 4 using rectangles (the method of Riemann sums). This is not the entire area in the first quadrant, … 
Calculus
Set up a Riemann sum to estimate the area under the graph of f(x) = 5x 2 + 2 between x = 0 and x = 1 using 3 subdivisions and left endpoints. Draw the graph and the 3 rectangles 
Calculus Area between curves
Consider the area between the graphs x+6y=8 and x+8=y2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals where a= , b=, c= and f(x)= g(x)= I found a, but not … 
Calculus
Using f(x), determine a formula for the Riemann Sum S_n obtained by dividing the interval [0, 4] into n equal subintervals and using the righthand endpoint for each c_k. f(x)= 5x+2 Now compute the limit as n goes to infinity S_n … 
Calculus
Use the Left and Right Riemann Sums with 80 rectangle to estimate the (signed) area under the curve of y=e^(3x)−5 on the interval of [10,20]. Write your answer using the sigma notation 
calculus
Use the Left and Right Riemann Sums with 100 rectangle to estimate the (signed) area under the curve of y=−2x+1 on the interval [0,50]. Write your answer using the sigma notation.