I solved the integral of u/(1-u) by hand and found as result -ln(1-u) - u + constant. Now, when I evaluate this integral with WolframAlpha, I get the same result. But when I evaluate it with Maple, it gives me a different result. (This expression in the ln() is different). Does Maple do any strange conversions there, or did I do something wrong, or is it a bug in Maple? This is a screenshot to demonstrate what I did:
Thanks in advance