Areas and Logarithms

A. I. MARKUSHEVICH abscissas AC and BD altitudes approaches zero approximation area of ACDB Areas and Logarithms arithmetic mean base booklet calculating Cf(x Chebyshev Consequently correct result corresponding curvi curvilinear trapezoid ACDB curvilinear trapezoid lies curvilinear triangle decimal logarithms deduced denote equal error less example exponent form a geometric formula func geometric progression graph height hyperbola integral f(x integral x-¹ K₁L₁ large number Let us divide Let us take linear trapezoid loga logarithmic curve logarithmic function Moscow State University National Science Foundation natural logarithms negative numbers x ordinary trapezoid pair of numbers perpendicular positive number progression with ratio properties of integrals prove ratio q rectangle relative error represented in Fig rithm RSFSR smaller step-like figure t2n dt tain take ẞ term tion TOPICS IN MATHEMATICS valid whole number x-¹ dx x-axis x³ dx y-axis ασ УА