### Differential Equation of First order and First degree

A differential equation of first order and first degree invokes x,y and So it can be put in any one …

Read More### Formation of Differential Equation

Consider a family of exponential curves where A is an arbitrary constant. For different values of A we get different …

Read More### Differential Equations

Differential Equation An equation containing an independent variable, dependent variable and differential coefficients of dependent variable with respect to independent …

Read More### Convergence of Improper Integral

Convergence of Improper Integral of First kind Definition 1. If f(x) is a bounded and integrable function on , then the improper …

Read More### Improper Integration

Improper Integrals Until now, we have been studying definite integrals of the type which were having the following features: (i) …

Read More### Integration as the limit of a sum

In this article we shall consider integration as the limit of the sum of certain number of terms when the …

Read More### Evaluation of Definite Integrals by using their properties

In this section we shall see how the properties of definite integrals are useful to evaluate definite integrals Example 1 …

Read More### Properties of Definite Integrals

In this section, we study some fundamental properties of definite integrals which are very useful in evaluating integrals Property I …

Read More### Evaluation of Definite Integrals by substitution

When the variable in a definite integral is changed, the substitution in terms of new variable should be effected at …

Read More### Definite Integrals

The Definite Integrals Let be the primitive or anti-derivative of a function f(x) defined on a,b i.e. .Then the definite …

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