
Relations and Functions

Inverse Trigonometric Functions

Matrices

Determinants

Continuity and Differentiability

Application of Derivatives

Integrals

Differential Equations

Probability

Vectors

Three  Dimensional Geometry

Application of Integrals

Applications of Calculus in Commerce and Economics

Linear Regression

Linear Programming
Integrals
Indefinite Integration
Integration is the inverse process of differentiation. If the differentiation of a function g(x) is f(x), then the integration of the function f(x) with respect to x is g(x) plus a constant of integration.
From the geometric point of view, an indefinite integral is a colle ....
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Methods of Integration
• An integral is a mathematical object that can be interpreted as an area or a generalization of area.
• The method of evaluating an integral by reducing it to standard form by a substitution is called integration by substitution.
• ....
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Definite Integral
The definite integral is introduced either as the limit of a sum or if it has an anti derivative F in the close interval [a, b], and its value is F (b) – F (a).
Definite integral as the limit of a sum:
Let f(x) be a continuous function defined on a ....
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