Integrals of Polynomials
Applications 
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Definite Integrals of Polynomials
Applications 
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Integral of 1/xAs a special case of the integral of a polynomial, the integral of 1/x gives a natural logarithm. where C is a constant of integration. For the definite integral case: Applications 
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Applications: Integral of 1/xThis integral appears in processes where the rate of change of a variable is proportional to the variable itself. This occurs in radioactive decay: Another example is in the calculation of the work done by a gas during an isothermal process. In this case the pressure is inversely proportional to the gas volume V, leading to the work integral 
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Polynomial Integrals: Applications Definite integrals of polynomials show up in many physical applications: The calculation of voltage difference near a point charge involves a polynomial integral with negative power: An example with a negative exponent is the calculation of work in an adiabatic process. 
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