Here you can find some solved problems that are typical and cover most of the popular tricks. We focus on the decision-making process rather then on the mechanics of integration. We strongly recommend that the reader always first attempts to solve a problem on his own and only then look at the solution here.

If you wish to simultaneously follow another text on integration in a separate window, click here for Theory and here for Methods Survey.

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral with parameter

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral

Problem: Evaluate the integral