introduction of particular integral

Particular Terms for Positive Integral Index - Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (a + b) n . This can be done by expanding (a + b) n and then locating the required term. Generally this becomes a..

Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (a + b) n . This can be done by expanding (a + b) n and then locating the required term. Generally this becomes a tedious task, specially when the index n is large. In such cases, ..

For n N, we have: a) (a - b) n (a +(- b))..

Introduction - Animals are different from plants because of their ability of locomotion. This ability probably developed as they have to search for food, unlike the plants that are autotrophic. Since they move from place to place, the animals have to continuously encounter changes in thei..

Integration and differentiation are a pair of inverse operations. So far, from a given function, we have been finding its derivative but the question arises: what is the function whose derivative is known? If the derivative of a function is given, then the function itself is called ..

Homogeneous Equation : A rational, integral, algebraic equation of the variables x and y is said to be homogeneous equation of n t h degree in x and y, when the sum of the indices of x and y in every term is the same and is equal to ..

A cell, a tissue or an organ, which secretes certain useful chemical compounds required for a particular function, is called a Glan..

As the complexity of the individuals, plants or animals increases the different cells and organs become separated from each other by greater distance. Thus it becomes necessary to have a system by which the different parts of the organisms can function as a single unit. This is possible only ..

It is a matter of common experience that precious stones like diamonds, rubies, etc. or glass pieces glitter when light, particularly white light is incident on it. In this chapter let us find out why white light incident on a transparent prism splits into different color..

As the complexity of the individuals, plants or animals increases the different cells and organs become separated from each other by greater distance. Thus it becomes necessary to have a system by which the different parts of the organisms can function as a single unit. This is possible only if th..