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Student Support Forum: 'How to solve an integral in mathematica?' topicStudent Support Forum > General > "How to solve an integral in mathematica?"

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jay-jay
04/18/13 1:31pm


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I am very new to Mathematica, and I am trying to solve the following problem.

I have a cubic equation of the form Z = aZ^3 + bZ^2 + a + b. The first thing I want to do is to get a function that solves this analytically for Z and chooses the minimal positive root for that, as a function of a and b.

I thought that in order to get the root I could use:

Z = Solve[z == az^3 + bz^2 + a + b, z]

It seems like I am not quite getting the roots, as I would expect using the general cubic equation solution formula.

I want to integrate the minimal positive root of Z over a and b (again, preferably analytically) from 0 to 1 for a and for a to 1 for b.

I tried

Y = Integrate[Z, {a, 0, 1}, {b, a, 1}]

and that does not seem to give any formula or numerical value, but just returns an integral. (notice I am not even sure how to pick the minimal positive root, but I am playing around with Mathematica to try to figure it out.)

Any ideas how to do this?


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Subject (listing for 'How to solve an integral in mathematica?')
Author Date Posted
How to solve an integral in mathematica? jay-jay 04/18/13 1:31pm
Re: How to solve an integral in mathematica? Bill Simpson 04/18/13 9:22pm
Re: How to solve an integral in mathematica? Peter Pein 04/19/13 11:14am
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