Homework Help: Calculus

Posted by Lin on Sunday, March 30, 2008 at 9:51pm.

Can someone solve this integral for me? My calculator just gives me a decimal approximation but I need an exact number. Thanks! :)

pi[{3ln(3)^2 - 6ln (3) + 6} - {ln(1)^2 - 2 ln(1) + 2}]

Calculus - drwls, Sunday, March 30, 2008 at 10:25pm
That does not look like a function to be integrated. It looks like a number to be calculated. You can start out simplifying it by recognizing that
ln(1) = 0.

When you write ln(3)^2, do you mean
[ln(3)]^2 or ln[3^2]? They are not the same. I will assume the latter.

ln [3^2] = 2 ln 3, so
3 ln[(3)^2] - 6ln (3) = 0

That leaves you with pi (6 - 4) = 2 pi
Calculus - Lin, Sunday, March 30, 2008 at 10:50pm
I'm confused. When I wrote it out by hand, I got:

ð(3ln(9)-6ln(3)+6)-(ln(1)-2ln(1)+2)
ð(ln(93)-ln(36)+6)- 2 (since ln(1)=0)
ð(ln(729)-ln(729)+6)-2
6ð-2
- Calculus - Lin, Sunday, March 30, 2008 at 10:50pm
  the weird symbol is pi
Calculus - Lin, Sunday, March 30, 2008 at 10:51pm
and that 93 is 9^3
Calculus - Lin, Sunday, March 30, 2008 at 10:52pm
and that 36 is 3^6

Answer this Question

Related Questions

Calculus - Oil is leaking out of a ruptured tanker at a rate of r = 19e^(2t) ...
Calculus - Derivatives - The approximation to a definite integral using n=10 is ...
calculus - The problem is to evaluate the integral 10secxtanx dx, from -1/7 pi ...
Math-PLEASE HELP!! - I have two questions That I need help with please!! 1. ...
please help me calc. have test tom - d/dx integral from o to x of function cos(2...
Calculus - Evaluate integral, don't use calculator. I'll use the S as ...
Calculus integral - evaluate the integral: integral from -pi/4 to 0 for the ...
Pre Calculus - ok I appologize for my stupidity... I'll answer your question...
Math - Solve the exponential equation. Use a calculator to obtain a decimal ...
calc - d/dx integral from o to x of function cos(2*pi*x) du is first i do the ...

For Further Reading

First Name:
School Subject:
Answer: