how to numerically integrate to machine precision?

I want to write a MATLAB code for \frac{\partial{gh}}{\partial\theta}=-\left(afu+u^{2}\tan{\theta}\right)
[SL: edited to add the equation in math format. If you click the sigma in the Insert section of your post's toolstrip, you can directly enter a LaTeX equation and have it formatted nicely.]

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el 8 de Nov. de 2019

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el 8 de Nov. de 2019

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