Here you will find problems for practicing. Each problem has hints coming
with it that can help you if you get stuck.
The main topic is integrals. The ones from Basic methods are for initial
practicing of techniques; the aim is not to solve the integrals, but just
do the specified step. The Simple problems are genuine, you are supposed
not only to solve them, but most of all decide on the right approach.
Both Simple and Intermediate integrals can be considered "normal" integrals
and a student should be able to handle them. The difference is that the
simple integrals have one-step solutions, which makes them ideal for
practicing basic integration techniques; also their hints are more detailed.
"Tough integrals" include integrals with a standard solution that happens to
be longer and/or more difficult to actually do. There are also integrals that
may have an easy or a short solution - provided you have the right idea;
these would be "tricky" integrals that don't exactly fit any
"box".