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I am trying to solve for an integral whose integrand is a derivative that has a change of variable inside of it.

∫ (dz/dx) * cos(θ) dθ between 0 and pi.

I have a function for z(x), and also know the relation between of x and θ, but what I don't know is how to evaluate such differential-integral operation numerically with the required change of variable.

x = c/2*(1-cos(θ) )

dz/dx = dz/dθ * dθ/dx...... how can I evaluate that derivative NUMERICALLY in terms of θ ??

thanks in advance

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# Numerical differentiation with change of variable

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