ECON0602 - Second Draft. ScienceDirect.com | Search through over 10 million science, health, medical journal full text articles and books. East Asia Forum. Studying Economics. Exclusive Opinion, Commentary and Op-ed from today's Top Economists and Public Intellectuals - Project Syndicate. Philosophy Now | a magazine of ideas. Home Page. Integration of Exponential Functions. About this document ... The following problems involve the integration of exponential functions. We will assume knowledge of the following well-known differentiation formulas : where , and where is any positive constant not equal to 1 and is the natural (base ) logarithm of . These formulas lead immediately to the following indefinite integrals : As you do the following problems, remember these three general rules for integration : where is any constant not equal to -1, where is any constant, and Because the integral where 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.
So that or Now substitute into the original problem, replacing all forms of , and getting We now have the following variation of formula 1 The following often-forgotten, misused, and unpopular rules for exponents will also be helpful : and Most of the following problems are average. E-International Relations — the world's leading website for students of international politics.