I am trying to compute the following integral:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\int \exp^{w^T \Lambda w}\, d\theta[/itex] where [itex]\Lambda[/itex] is a constant wrt [itex]\theta[/itex]

[itex]w = y - t(x, \theta)[/itex]

So, I am trying to use substitution and I have:

[itex]d\theta = \frac{-dw}{t^{'}(x, \theta)}[/itex]

So, substituting it, I have the following integral to compute:

[itex]\int \frac{exp^{w^T \Lambda w}\, dw}{t^{'}(x, \theta)}[/itex]

Can I treat [itex]t^{'}(x, \theta)[/itex] as a constant? My instinct tells me no as there is a relationship between [itex]w[/itex] and [itex]\theta[/itex] given by this function [itex]t[/itex], but I just wanted to make sure.

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# Integration by substitution: Can I treat this as constant

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