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Here is an integral (similar in form to the one) I want to evaluate:
$$ \int_{r_1}^{r_2} R \left\{ \int_{x_1}^{x_2} Y(x,R)\, dx \right\}^2\,dR $$
This is my approach - please correct me because I don't think it's right:
I treat R as a constant and evaluate the inner integral over some vector of x (using the function "trapz" in MATLAB)
I do the same thing again for another value of R (until the range of R values are done). Ending up with an array of values for the inner integral. (Where each element corresponds to the integral of a particular value of R).
Lastly, I evaluate the outer integral (with "trapz") over the same vector of R but for each value of the inner integral.
What do you think?
$$ \int_{r_1}^{r_2} R \left\{ \int_{x_1}^{x_2} Y(x,R)\, dx \right\}^2\,dR $$
This is my approach - please correct me because I don't think it's right:
I treat R as a constant and evaluate the inner integral over some vector of x (using the function "trapz" in MATLAB)
I do the same thing again for another value of R (until the range of R values are done). Ending up with an array of values for the inner integral. (Where each element corresponds to the integral of a particular value of R).
Lastly, I evaluate the outer integral (with "trapz") over the same vector of R but for each value of the inner integral.
What do you think?
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