Examples of the integral that can't be done correctly by Wolfram Alpha
<p>Does anybody know the examples of indefinite or definite integral that can be done in the terms of elementary functions manually by a good first-year or second-year student, but which Wolfram Alpha (or Mathematica) evaluate not correctly? 
In other words, I want to find some tasks for mathematical test, where students cannot easily find the answer using wolfram and just rewrite it in their papers.
Thanks in advance.</p>