Hey,(adsbygoogle = window.adsbygoogle || []).push({});

Having trouble with these two problems:

1. If f(x) = ln(x)/x (3 <= x <= 10), find an expression for the area under the graph of f as a limit. Do not evaluate the limit.

My answer:

Change in x = (10 - 3)/n = 7/n, so:

(7/n)[Sigma i = 0 to n](ln(7/n)/(7/n))

I feel like this isn't right for some reason.

2. Determine a region whose area is equal to:

lim as n->infinity of (Sigma i = 0 to n)(4pi/4n)(tan (i*pi/4n))

pi/4n is constant so that is the change in x.

Don't know how to go any further here...

And help appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Unsure about these two

**Physics Forums | Science Articles, Homework Help, Discussion**