Different results for same integration
- To: mathgroup at smc.vnet.net
- Subject: [mg72964] Different results for same integration
- From: "ashesh" <ashesh.cb at gmail.com>
- Date: Fri, 26 Jan 2007 07:42:42 -0500 (EST)
Hi all,
I am trying to do the following two integrations, which are basically
the same, but with a change of variable. I am getting different results
from both of them. Hope some one can point out the mistake I am making.
a = 19.0; b = 4.0; t = 5.0;
Integrate[(a + b)/Sqrt[(a^2 - x^2)*(b^2 - x^2)], {x, b, b + I*t}]
Integrate[(1 + b/a)/Sqrt[(1 - y^2)*(1 - (b^2*y^2)/a^2)], {y, 1, (b +
I*t)/b}]
where y = (x/b)
The first integration gives: -1.23787 + 1.44831 I
while the second one gives: 6.17818 - 5.4757 I
The upper limits of the integrations are complex (b + i t) and ((b + i
t)/b) respectively.
The result from the first integration is correct and I have verified it
analytically.
Looking forward for any help in resolving the problem.
Ashesh
- Follow-Ups:
- Re: Different results for same integration
- From: leigh pascoe <leigh@cephb.fr>
- Re: Different results for same integration