Re: Integration of expressions with symbolic limits

*To*: mathgroup at smc.vnet.net*Subject*: [mg127420] Re: Integration of expressions with symbolic limits*From*: Murray Eisenberg <murray at math.umass.edu>*Date*: Mon, 23 Jul 2012 19:55:12 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net*References*: <CAONcYm2vB0ZWp-C+fUOstuZgjdR8vSj2MtJW_F0gj38nmNC_bQ@mail.gmail.com>*Reply-to*: murray at math.umass.edu

Of course one can use symbolic limits. For example: Integrate[x^2, {x, a^2, b^2}] For the function you give in your post, just trying to find an indefinite integral takes a very long time, or possibly does not reach a result at all. (I didn't wait for Mathematica to time out with it.) However, given your past history of posting here expressions that have syntax errors or else have correct syntax but do not express what you really intend, I wonder whether the function you're trying to integrate is what you actually show. For example, do you really intend x^3/2 to mean x^(3/2)? Similarly, should (x-a^2)^1/2 actually be (x-a^2)^(1/2)? On 7/23/12 3:57 AM, Rahul Chakraborty wrote: > 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 > -- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2859 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305