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This leaflet will help you solve calculus problems and make calculus homework easier. You can calculate standard indefinite integrals automatically, simply by looking for its pattern in the table and finding the primitive or antiderivative function. To save space we have omitted the integration constant. If the integral is definite then the table can be used to find the primitive and then you can evaluate it at the limits of integration.
The different methods by which the functions are transformed into more easily integrated ones can be classified as follows:
The table presents a selection of integrals found in the Calculus books. It is a compilation of the most commonly used integrals. It includes:
The first member of each equation contains the function to be integrated, the second member contains the expanded integral.
The entries in the table are generally ordered according to the integrand form. As in any dictionary, this arrangement makes it easier to locate them. But the ordering also matches surprisingly well with a grouping of different methods, since a special technique of integration is naturally associated with each category. Several reduction formulas are also included.