Begin by lettingNow substitute into the original problem, replacing all forms of x, and gettingWe now have the following variation of formula 1.) :The following often-forgotten, misused, and unpopular rules for exponents will also be helpful :Most of the following problems are average. We already know that the inverse process of differentiation is.As you do the following problems, remember these three general rules for integration :Where k is any nonzero constant, appears so often in the following set of problems, we will find a formula for it now using u-substitution so that we don't have to do this simple process each time. These formulas lead immediately to the following indefinite integrals :The power rule of integration is an important and fundamental formula in integral calculus.

Please e-mail any correspondence to Duane KoubaBy clicking on the following address About this document. Make precise use of the differential notation dx and du and always be careful when arithmetically and algebraically simplifying expressions.Click HERE to see a detailed solution to problem 1.Click HERE to see a detailed solution to problem 2.Click HERE to see a detailed solution to problem 3.Click HERE to see a detailed solution to problem 4.Click HERE to see a detailed solution to problem 5.Click HERE to see a detailed solution to problem 6.Click HERE to see a detailed solution to problem 7.Click HERE to see a detailed solution to problem 8.Click HERE to see a detailed solution to problem 9.Click HERE to see a detailed solution to problem 10.Click HERE to see a detailed solution to problem 11.Click HERE to see a detailed solution to problem 12.Click HERE to return to the original list of various types of calculus problems.Your comments and suggestions are welcome.

Rules Of Integration