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**[SOLVED] Upper Bounds Integration**

**1. Homework Statement**

Integrate y=4x from 2 to 5 using the limit with circumscribed rectangles.

**2. Homework Equations**

A=lim(n to inf.) Summation of f(xsubi) times delta (xsubi)

**3. 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)