Integration by Parts Tabular Method of Natural Log and Algebraic Function | Glass of Numbers

We do integration by parts tabular method (Row Integration by Parts method (RIP)). The integrand is a fraction, with numerator ln x and denominator sqrt(x). Since it is a quotient, we can write it as a product by rewriting 1/sqrt(x) as x to the negative 1/2 power and integrate it by parts.

This type of integrals is one of the easiest in Calculus. And when using the tabular method, it's also fun to do!

See how to do this problem in the traditional method here:

Professor Rock (from CPP.edu) wrote a paper on this and you can see it here:

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