Recent content by phoenix2014
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Graduate Leibniz rule for double integrals
If you look at regions 6 and 7 they are unbounded and the upper limit of the random variables goes to infinity. However, they have "bounded" limit in their expressions after the Leibniz rule is applied (1-beta)Cq. I was curious why did not have upper limits as infinity. In fact, even region 2 is...- phoenix2014
- Post #7
- Forum: Calculus
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Graduate Leibniz rule for double integrals
the one that I have attached again below- the word document "Physics Forum Leibniz rule double integral.docx". Let me know if you are unable to access it. Thanks.- phoenix2014
- Post #5
- Forum: Calculus
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Graduate Leibniz rule for double integrals
Thank you for the reply. The region defined by the state-space seems to produce improper integrals (like the upper limit of $$\xi_1,\xi_2$$ is infinity). The limits the authors have is only a portion of the region defined. (Please see attached document for region $$\Omega_2$$). Was this by...- phoenix2014
- Post #3
- Forum: Calculus
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Graduate Leibniz rule for double integrals
Hello, I would like to differentiate the following expected value function with respect to parameter $$\beta$$: $$F(\xi_1,\xi_2) =\int_{(1-\beta)c_q}^{bK+(1-\beta)c_q}\int_{(1-\beta)c_q}^{bK+(1-\beta)c_q}\frac{\xi_1+\xi_2-2bK}{2(1-\beta)^2} g(\xi_1,\xi_2)d\xi_1 d\xi_2$$ $$g(\xi_1,\xi_2)$$ is...- phoenix2014
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- Double integral Integrals Leibniz Multivariate calculus
- Replies: 7
- Forum: Calculus