differentiation under the integral sign

This is a special case of Leibniz's integral rule. As an example, for α > 0 define

Then

and integrating gives I(α) = c + lnα for some constant c. As I(1) = 0 then I(α) = lnα.

• potential energy
• potential infinity
• power
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• power
• power series
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• precision
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• predator–prey equations
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• predicted variable
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• prefix
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