Symmetric Angles

Symmetric Angles

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22

Apr'19

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 …

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19

Apr'19

Formation of Differential Equation

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

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17

Apr'19

Differential Equations

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

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16

Apr'19

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 …

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14

Apr'19

Improper Integration

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

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13

Apr'19

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 …

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12

Apr'19

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 …

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10

Apr'19

Properties of Definite Integrals

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

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10

Apr'19

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 …

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09

Apr'19

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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08

Apr'19

Integration of some special irrational algebraic functions

In this section,  we shall discuss four integrals of the form  when P and Q are polynomial functions of x. …

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30

Mar'19

Integration using Partial fraction

Type I When the denominator is expressible as a product of linear factors Solution: Putting x-2=0 or x=2 in (ii), …

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29

Mar'19

Partial Fraction

In the partial fraction decomposition or partial fraction expansion of a rational number (that is, a fraction such that the numerator and the denominator are both …

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26

Mar'19

Integration of various types (By Parts)

Type I : Integration of the form  Theorem Prove that  Proof    We have , Algorithm Example Solution:   Type II …

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20

Mar'19

Integration of various types (Substitution)

Type I:  Example Solution:    Type II: To evaluate this type of integrals we express as the sum or difference …

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20

Mar'19

Some Special Integrals

Some Special Integrals Some of the special integrals in derived form to be used where it will be applicable : …

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