Posted by Anthony on Wednesday, December 19, 2007 at 11:08pm.
Given two problems:
Problem A: Tau = Integral(0 to v)
v/(q^2  v^2) dv
q = constant
Problem B: Tau = Integral(V TO 0)
v/(q^2  v^2) dv
q = constant
Why is it that, SUBSTITUTION RULE is used in problem A, and QUOTIENT RULE is used in problem B? The two problems are somewhat similar. The only different is their integrals. Problem A, the integration is from 0 to V and problem B, the integration is from V to 0. The answers are shown below. Please help!!
Answer (problem A):
Tau = ln(q^2/(q^2v^2))
Answer (problem B):
Tau = ln((q^2v^2)/q^2)

Calculus  drwls, Wednesday, December 19, 2007 at 11:16pm
One integral is the negative of the other, since the integrand is the same and only the direction of integration changes. If you think about the answers, and recognize that log a/b =  log b/a, you will see that all that is involved is a sign change there also. Either integration could have been solved by either method.
Answer This Question
Related Questions
 Math/Calculus  How would I solve the following integral with the substitution ...
 IntegrationCalculus  How do I integrate this? constant(1 z/[sqrt (z^2 + ...
 calc  how do you start this problem: integral of xe^(2x) There are two ways: 1...
 calculus  LEt f and g be continous functions with the following properties i. g...
 calculus  LEt f and g be continous functions with the following properties i. g...
 calc  evaluate the integral: y lny dy i know it's integration by parts but i ...
 Calculus Please Help2  Evaluate the integral by using substitution. Use an ...
 Calculus  I have two questions, because I'm preparing for a math test on monday...
 calculus  We're doing indefinite integrals using the substitution rule right ...
 Calculus: Integral  I don't understand how to do this one integral problem that...
More Related Questions