Hi Jared,

On Wed, Mar 31, 2010 at 12:31 AM, Jared Schlieper
<dr.schlie...@gmail.com> wrote:

<SNIP>

> Am I missing something?
>
> Mathematica gives 3954.63 using the NIntegrate command.

Is the following what you want?

[mv...@sage ~]$ sage
----------------------------------------------------------------------
| Sage Version 4.3.3, Release Date: 2010-02-21                       |
| Type notebook() for the GUI, and license() for information.        |
----------------------------------------------------------------------
sage: x, y = var("x, y")
sage: density = e^(sqrt(x)) + e^(y^2/2)
sage: g1 = e^(2*x) - 1
sage: g2 = 5 - 5*(x-1)^2
sage: a = (g2 - g1).find_root(-0.1, 0.2, x)
sage: b = (g2 - g1).find_root(.7, 1.0, x)
sage: f = integral(density, y, g1, g2)
sage: f.nintegral(x, a, b)
(3954.6341726670939, 2.7847910517020398e-06, 105, 0)

-- 
Regards
Minh Van Nguyen

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