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Introduction . Elements differential and integral calculations. Function. Derivative of function Constants and variables. Basic elementary functions. Derivative of function. Physical sense of derivative. BASICS OF INTEGRAL CALCULATION.
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Introduction. Elements differential and integral calculations.
BASICS OF INTEGRAL CALCULATION • Integral calculation arised as a result of creation of general method for calculation of areas, volumes and gravitation centers of different bodies. In 1659 English mathematician Isaak Barrow established relation between the area search problem and problem of tangent search and in such a way established relation between differential and integral calculation. Let line MN be given by equation and we want to find area S of “crooked-linear trapeze” аАВв. Let’s devide the section аb by n pieces ax1, x1x2... xN-1b (equal or unequal) and construct from rectangulars figure shown in figure. Its area is
Indefinite integral properties. Basic integration formulars.