Titlebook: Integral Calculus for Engineers; Gavriil Paltineanu,Ileana Bucur,Mariana Zamfir Book 2022 The Editor(s) (if applicable) and The Author(s),

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Indefinite Integrals,To understand the need to introduce the notion of antiderivative of a function we will start from a simple problem of mechanics.

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Definite Integrals,The notion of definite integral appeared out of necessity to solve some important problems in geometry and physics, related mainly to the computation of areas and volumes, respectively to the computation of the mass of an inhomogeneous body and of mechanical work done by a variable force, and so on.

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Improper Integrals,The definite integral theory was made for bounded functions defined on closed and bounded intervals.

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Integrals Depending on Parameter,In this chapter we present a new manner to define a function, using an integral. An example of such a function was presented in Chap. ., Theorem ..

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Double and Triple Integrals,In this chapter we will study the integration of the functions of two and three real variables. The obtained results extend without difficulty to functions of .-variables.

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