- #1
tmclary
- 13
- 0
[SOLVED] Upper Bounds Integration
Integrate y=4x from 2 to 5 using the limit with circumscribed rectangles.
A=lim(n to inf.) Summation of f(xsubi) times delta (xsubi)
A=lim(4/n)(4/n)(4)(2+3+4+...+(n+1))
=64/n^2((n^2+3n)/2))= 32lim((n+3)/n)) =32. But from integration the answer is obviously 48. What am I doing wrong? (Sorry about lack of typo skills-newbie)
Homework Statement
Integrate y=4x from 2 to 5 using the limit with circumscribed rectangles.
Homework Equations
A=lim(n to inf.) Summation of f(xsubi) times delta (xsubi)
The Attempt at a Solution
A=lim(4/n)(4/n)(4)(2+3+4+...+(n+1))
=64/n^2((n^2+3n)/2))= 32lim((n+3)/n)) =32. But from integration the answer is obviously 48. What am I doing wrong? (Sorry about lack of typo skills-newbie)