Applications of the Integral Calculus
The determination of areas and volumes has exercised the curiosity of mathematicians since Greek antiquity. Two of the greatest achievements of Archimedes (287–212 B.C.) were the computations of the areas of the parabola and of the circle. The early seventeenth century then saw the computation of areas under the curve y = x a with either integer or arbitrary values of a (Cavalieri, Fermat). In this chapter, we are concerned with various applications of the Riemann integral.
KeywordsContinuous Function Differentiable Function Schwarz Inequality Integral Inequality Hardy Inequality
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