November 30, 2015

Homework Help: Calculus

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^2-v^2))

Answer (problem B):
Tau = ln((q^2-v^2)/q^2)

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