In this section you'll find study materials for calculus help. Use the links below to find the area of calculus you're looking for help with. Each study guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn calculus.

Study Guides

showing 31 - 40 of 94
  • 31.

    Exponential Growth and Decay Help

    Introduction to Exponential Growth and Decay Many processes of nature and many mathematical applications involve logarithmic and exponential functions. For example, if we examine a population of bacteria, we notice that the rate at which the population grows is ...

    Source: McGraw-Hill Professional
  • 32.

    Inverse Trigonometric Functions Help

    Introduction to Inverse Trigonometric Functions Figure 6.14 shows the graphs of each of the six trigonometric functions. Notice that each graph has the property that some horizontal line intersects the graph at least twice. Therefore none of these functions is ...

    Source: McGraw-Hill Professional
  • 33.

    Transcendental Functions Practice Test

    Review the following concepts if needed: Logarithm Basics Help Derivative of Logarithm ...

    Source: McGraw-Hill Professional
  • 34.

    Integration by Parts Help

    Introduction to Integration by Parts We know that the integral of the sum of two functions is the sum of the respective integrals. But what of the integral of a product? The following reasoning is incorrect:

    Source: McGraw-Hill Professional
  • 35.

    Partial Fractions Help

    Introduction to Partial Fractions The method of partial fractions is used to integrate rational functions, or quotients of polynomials. We shall treat here some of the basic aspects of the technique. The first fundamental ...

    Source: McGraw-Hill Professional
  • 36.

    Methods of Integration - Substitution Help

    Introduction to Methods of Integration - Substitution Sometimes it is convenient to transform a given integral into another one by means of a change of variable. This method is often called “the method of change of variable” or “ u ...

    Source: McGraw-Hill Professional
  • 37.

    Integrals of Trigonometric Expressions Help

    Introduction to Integrals of Trigonometric Expressions Trigonometric expressions arise frequently in our work, especially as a result of substitutions. In this section we develop a few examples of trigonometric integrals. The ...

    Source: McGraw-Hill Professional
  • 38.

    Methods Of Integration Practice Test

    Review the following concepts if needed: Integration by Parts Help

    Source: McGraw-Hill Professional
  • 39.

    Volumes by Slicing Help

    Introduction to Volumes by Slicing When we learned the theory of the integral, we found that the basic idea was that one can calculate the area of an irregularly shaped region by subdividing the region into “rectangles.” We put the word ...

    Source: McGraw-Hill Professional
  • 40.

    Volumes of Solids of Revolution Help

    Introduction to Volumes of Solids of Revolution A useful way—and one that we encounter frequently in everyday life—for generating solids is by revolving a planar region about an axis. For example, we can think of a ball (the interior of a sphere) as ...

    Source: McGraw-Hill Professional
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