Relations and functions

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Applications of Integral calculus

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Integral Calculus

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Integral calculus

The process of finding an indefinite integral of a given function is called integration of function. This is denoted by ∫f(x) dx and read as indefinite integral  of f(x) with respect to x.

Here, ⎰ is called integral sign, f(x) is the integrand, x is the variable of integration and dx is the element of element of integration.

Integral is also called antiderivative as this is just the reverse of derivative.

\dpi{120} \mathbf{\frac{d}{dx}\left ( \int f(x)dx \right )= f(x)}

Differentiation of an integral is the integrand itself .

Differentiation and integration  are inverse operations.

Integral calculus has numerous applications  like it is used in finding area under the curve, finding volume of solids, finding arc lengths, finding surface of revolution, work done by force and many more.

Applications of Differential Calculus

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