Question

Describe Methods of Integration

Answer 1

As integration is the revere process of differentiation. It’s studied under the branch of calculus which is known as integral calculus.

Integration is a method of adding values on a large scale, where we cannot perform general addition operations. But there are multiple methods of integration, which are used in Mathematics to integrate the functions. There are different integration methods that are used to find an integral of some function, which is easier to evaluate the original integral.

There are various methods or techniques of integrations that should and; be chosen wisely in order to get appropriate; integral of a function. Main integration methods are listed below:

• Integration by Substitution: In this mode of integration, any given integral is transformed into a simple form of integral by substituting the independent variable with others.
• Integration by Parts: Integration by parts needs a special technique for the integration of a function, where the integral function is the multiple of two or more functions.
• Integration Using Trigonometric Identities: In the integration of a function, if the integral involves any kind of trigonometric function, then we apply trigonometric identities to simplify the function that can be easily integrated.
• Integration of Some particular function: Integration of some particular function includes some important formulae of integration that can be practiced to make other integration into the standard form of the integral.
• Integration by Partial Fraction: A given rational function is defined as the ratio of two polynomials which can be expressed in the form of partial fractions:$\frac{P\left(x\right)}{Q\left(x\right)}$, where $Q\left(x\right)\ne 0$ then it can be integrated.