Definite Integrals


This cheat sheet covers the high school math concept – Definite Integrals.

Definite Integral

This is one of the most important as well as interesting topics under Integral Calculus. It generally follows after indefinite integration.

A thorough knowledge of the formulae of indefinite integrals is a must to proceed with those of definite integrals. A cheat sheet on Indefinite Integration is also available on this website.

Also, for understanding definite integrals as a limit of a sum, you’ll require knowledge of limits and basic formulae / techniques of evaluating limits. A cheat on Limits is also available on this website.

Finally, a good knowledge of plotting and transforming graphs will also help to solve problems related to indefinite integrals. Cheat sheets on Graph Transformations (Basic and Advanced) are also available on this website.

This one page PDF covers summarised theory and the most important formulas related to the concept. Keep it handy while you’re revising the concept, especially before an exam.

The topics included in this cheat sheet are:

  • Definite Integration as a Limit of Sum
  • Properties of Definite Integrals
  • Inequalities involving Definite Integrals
  • Differentiation under the Integral Sign (Leibniz Rule)

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