Knowledge of the method of u-substitution will be required on many of the problems. Most of the following problems are average. The following often-forgotten, misused, and unpopular rules for exponents will also be helpful : We now have the following variation of formula 1.) : Now substitute into the original problem, replacing all forms of x, and getting 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 :Īs you do the following problems, remember these three general rules for integration : Where a is any positive constant not equal to 1 and We will assume knowledge of the following well-known differentiation formulas : The following problems involve the integration of exponential functions.