• To: mathgroup at smc.vnet.net
• Subject: [mg103801] Adding and Integrating Interpolation Functions
• From: "Bayers, Alexander" <alexander.bayers at baml.com>
• Date: Wed, 7 Oct 2009 07:00:46 -0400 (EDT)

```I have two interpolation functions, firstinterp and secondinterp, that I
wish to add.  They are defined symbolically, i.e.

a = {1, 2, 3, 4, 5}

b = {b1, b2, b3, b4, b5}

c = {c1, c2, c3, c4, c5}

firstinterp = Interpolation[Transpose[{a, b}], InterpolationOrder -> 1]

secondinterp = Interpolation[Transpose[{a, b}], InterpolationOrder -> 1]

newinterp[t_]:= firstinterp[t] + secondinterp[t]

While I can evaluate newinterp at any point, and I am able to integrate
firstinterp[t] and secondinterp[t], when I run Integrate[newinterp[t],
{t, 2, 3}] I receive (InterpolatingFunction[{{1, 5}}, <>][t] +
InterpolatingFunction[{{1, 5}}, <>][t]) dt under an integral sign,
rather than the evaluated value.  Does anyone know how to get this to
integrate to its real value?

Thanks,

Alex

```

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