To celebrate the 1st anniversary of the Independent Integration Test Suite, I am offering streamlined versions of some evaluations given on the Rubi website <http://www.apmaths.uwo.ca/~arich/> for the example integrals from Chapter 5 of Timofeev's book.
It has been a disappointment to realize that the radicands appearing in Timofeev's examples no. 85, 89-90, 98-99, and 109 from Chapter 5 are negative over the entire real axis.
- Example 40 (p. 254) with logarithm arguments replicating the denominator factors (1st version):
Note that SQRT(SEC(x)^3) has not been interpreted as SEC(x)^(3/2) in Example 26 (p. 223), whereas SQRT(x^3) has been interpreted as x^(3/2) in Example 1 of Chapter 4. Similar to what has been done in Example 44 above, the paired logarithms in the evaluations of example integrals 62, 64, 66 (p. 268), and 118 (p. 309) may be written as area hyperbolic tangents, or split differently using: