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Understanding the Context

Integration can be used to find areas, volumes, central points and many useful things. Integration is finding the antiderivative of a function. It is the inverse process of differentiation. Learn about integration, its applications, and methods of integration using specific rules and formulas.

Key Insights

Integral formulas allow us to calculate definite and indefinite integrals. Integral techniques include integration by parts, substitution, partial fractions, and formulas for trigonometric, exponential, logarithmic and hyperbolic functions. In mathematics, an integral is the continuous analog of a sum, and is used to calculate areas, volumes, and their generalizations. The process of computing an integral, called integration, is one of the two fundamental operations of calculus, along with differentiation. Integration is the union of elements to create a whole.

Final Thoughts

Integral calculus allows us to find a function whose differential is provided, so integrating is the inverse of differentiating. Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration). All common integration techniques and even special functions are supported.