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Category: Calculus

  • Definition of Integral

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    misamaliraza94
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    Given the derivative f’ of the function f, a question that arises is, “Can we determine the function f?” Here, the function f is called antiderivative or integral of f’. The process of finding the antiderivative is called integration. On the other hand, the value of the function found by the process of integration is called an Integral. For…

  • Applications of Integrals

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    misamaliraza94
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    There is a number of methods of calculations among which are functions, differentiation, and integration. Applications of Integrals are applied in various fields like Mathematics, Science, Engineering. Further, for the calculation of areas or irregular shapes in a two-dimensional space, we use majorly integrals formulas. Here a brief introduction on integrals is given, with applications…

  • Sequence and Series Tips

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    misamaliraza94
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    The following points are helpful to clearly understand the concepts of sequence and series. In an arithmetic sequence and series, a is represented as the first term, d is a common difference, an as the nth term, and n as the number of terms. In general, the arithmetic sequence can be represented as a, a+d, a+2d,…

  • Sequence and Series Formulas

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    misamaliraza94
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    There are various formulas related to various sequences and series by using them we can find a set of unknown values like the first term, nth term, common parameters, etc. These formulas are different for each kind of sequence and series. Formulas related to various sequences and series are explained below: Arithmetic Sequence and Series Formula The…

  • Sequence and Series Formulas

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    by

    misamaliraza94
    in

    There are various formulas related to various sequences and series by using them we can find a set of unknown values like the first term, nth term, common parameters, etc. These formulas are different for each kind of sequence and series. Formulas related to various sequences and series are explained below: Arithmetic Sequence and Series Formula The…

  • Types of Sequence and Series

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    misamaliraza94
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    There are various types of sequences and series, in this section, we will discuss some special and most commonly used sequences and series. The types of sequence and series are: Arithmetic Sequences and Series Geometric Sequences and Series Harmonic Sequences and Series An arithmetic sequence is a sequence where the successive terms are either the addition or…

  • Difference B/w Sequence and Series

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    misamaliraza94
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    The important differences between sequence and series are explained in the table given below: Sequence Series In sequence, elements are placed in a particular order following a particular set of rules. In series, the order of the elements is not necessary. It is just a collection (set) of elements that follow a pattern. It is a sum…

  • What Are Sequence and Series?

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    misamaliraza94
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    The sequence is the group or sequential arrangement of numbers in a particular order or set of rules. Series is formed by adding the terms of a sequence. In a sequence, an individual term can be present in many places. Sequences can be of two types, i.e. infinite sequence and finite sequence and series will be then…

  • Sequence and Series

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    misamaliraza94
    in

    Sequence and series are used in mathematics as well as in our daily lives. A sequence is also known as progression and a series is developed by sequence. Sequence and series is one of the basic concepts in Arithmetic. Sequences are the grouped arrangement of numbers orderly and according to some specific rules, whereas a series…

  • Applications of Differential Equations

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    misamaliraza94
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    Ordinary differential equations applications in real life are used to calculate the movement or flow of electricity, motion of an object to and fro like a pendulum, to explain thermodynamics concepts. Also, in medical terms, they are used to check the growth of diseases in graphical representation. Differential equations are useful in describing mathematical models…