# Differentiation and Integration Formula

Differentiation and Integration Formulas have many important formulas. You’ll read about the formulas as well as its definition with an explanation in this article.

## Definition of Differentiation:

A derivative of a function related to the independent variable is called Differentiation and it is used to measure the per unit change in function in the independent variable. If y = f(x) is a function of x, then the rate of change of y per unit change in x will be shown as

 dy/dx

## Important Differentiation Formulas:

 f(a) = sin a, so f’ x = cos x f(a) = cos a, so f’ x = -sin x f(a) = tan a, so f’ x = -tan2a

## Definition of Integration:

The integration of a function f(a) is given by F(a) and is written as

$\int$ f(a) da = F(a) +C, where Right hand side shows integral of f(a) with respect to a

F(a) is called primitive, d(a) is called the integrand and C is constant of integration, a is variable.

## Important Integration Formulas

 $\int$ sin a d(a) = -cos a + c $\int$ cos a d(a) = sin a + c $\int$ sec2 a d(a) = tan a + c

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