I am currently doing a math course, and one of the exercises was integrate the following: tan(x)^2*cos(x)^3. Solving this by hand returns sin(x)^3/3. Entering this on the HP Prime returns -sin(x).This does not seem correct to me. I have verified the answer with maple and a TI-Nspire, both return the correct answer.
Thanks for the clear explanation. I was able to get the correct result by hand. Indeed, when I enter tan(x) as sin(x)/cos(x) in the HP prime, the returned answer is correct. Somehow the HP prime seems to have trouble integrating tan(x) and its exponents. I will find out how and where to file a bug report.