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juantheron
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Evaluation of $$\int^{\frac{\sqrt{5}+1}{2}}_{1}\frac{x^2+1}{x^4-x^2+1}\ln\left(x-\frac{1}{x}+1\right)dx$$
Definite integration is a mathematical process used to find the exact value of an integral between two specified values, known as the limits of integration.
Definite integration involves finding the numerical value of an integral, while indefinite integration involves finding the antiderivative or general solution of the integral.
This is simply a convention in mathematics, where the variable "x" is typically used for the independent variable and "a" and "b" are used to represent the limits of integration.
The definite integral is used to find the area under a curve, which has a wide range of applications in fields such as physics, engineering, and economics.
There are several methods for evaluating definite integrals, such as the fundamental theorem of calculus, u-substitution, and integration by parts. The most appropriate method depends on the complexity of the integral.