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PrudensOptimus
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Integrat Ln[x]dx!
The integration formula for Ln x is ∫ Ln x dx = x Ln x - x + C, where C is the constant of integration.
Yes, Ln x can be integrated using substitution. The most common substitution used is u = Ln x, which results in du = 1/x dx.
The domain for the integration of Ln x is (0, ∞). This means that the natural logarithmic function can only be integrated for positive values of x.
Yes, there is a specific technique for integrating Ln x. It is known as integration by parts, which involves breaking down the integrand into two parts and using a specific formula to integrate them.
Integrating Ln x is commonly used in various fields of science and engineering, such as in the study of population growth, radioactive decay, and chemical reactions. It is also used in economics for calculating compound interest and in statistics for calculating probabilities.