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Re: Integration of expressions with symbolic limits

• To: mathgroup at smc.vnet.net
• Subject: [mg127431] Re: Integration of expressions with symbolic limits
• From: "Dave Snead" <dsnead6 at charter.net>
• Date: Tue, 24 Jul 2012 04:15:58 -0400 (EDT)
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• References: <20120723235352.0ED466790@smc.vnet.net>

Add some assumptions about the domains of a and b, then you will get a 
symbolic answer.

For example:

Integrate[
a/(2*(x^3/2)*(x - a^2)^1/2), {x, a^2 + b^2, a^2 + (1 - b)^2},
Assumptions -> 0 < a && 0 < b < 1/2]

gives:

2*a*(((-1 + 2*b)*(4*a^4 + 2*(-1 + b)^2*b^2 + a^2*(3 + 6*(-1 + b)*b)))/
   (2*a^4*(a^2 + (-1 + b)^2)^2*(a^2 + b^2)^2) +
  Log[((-1 + b)^2*(a^2 + b^2))/((a^2 + (-1 + b)^2)*b^2)]/a^6)

Cheers,
Dave Snead


-----Original Message----- 
From: Rahul Chakraborty
Sent: Monday, July 23, 2012 4:53 PM
To: mathgroup at smc.vnet.net
Subject: [mg127431] Integration of expressions with symbolic limits

Dear Sir,

I would like to know one thing regarding the above subject, if it is
possible in Mathematica to have a symbolic result.

My code is as below

Integrate [a/(2*(x^3/2)*(x-a^2)^1/2),{x,a^2+b^2,a^2+(l-b)^2}]

ERROR: Integrate::ilim: Invalid integration variable or limit(s) in
{0.5,a^2+b^2,a^2+(-b+l)^2}. >>


Regards,

   rc

• References:
  • Integration of expressions with symbolic limits
    • From: Rahul Chakraborty <rahul.6sept@gmail.com>