The application of mathematical methods of integral calculus to solve direct and inverse problems of geological exploration and oil and gas production based on computational methods is described. The principle of solving a specific problem using a certain integral is described, which demonstrates the effectiveness of using integral calculus metho...
Use the Fundamental Theorem of Calculus to find the derivative of the function. g x = integral 6x^7x fraction u^2 - 1 u^2 + 1 du Hint integral 6x^7x f u du = integral 6x^0 f u du + integral 0^ 7x fu du The fundamental theorem of...
as well as their expectations and attitudes about these tools. We find that many students have come to differentiated and thoughtful views and decisions regarding the use of artificial intelligence. The majority of students wishes AI to be
In order to evaluate a definite integral, we need to apply the Fundamental Theorem of Calculus. This theorem states that if we can find the integrand's antiderivative, {eq}F(x) {/eq}, the value of the integral is defined as follows. ...
Thus, such tasks may still afford opportunities to assess the real-life relevance of, and the expectancy of success in, personal computing. 1.2. Influence of computer games Over the years, studies have shown that computer games have exerted an increasing influence on youths’ developing confidence...
Based on these indicators, uncertain processes shows the greatest development potential, and has remained a hot topic in recent years, being mainly concentrated on the uncertain renewal reward process, optimal control of discrete-time uncertain systems, and uncertain linear quadratic optimal control. ...
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Nevertheless, the available diarrhea related models are all based upon classical approach to obtain a system of nonlinear autonomous first order ordinary differential equations. Thus, there is a room to improve such existing models with the tools of classical and modern fractional calculus. It is, ...
A frequency multiplying unit(320) multiplies the triangular pulse generated in the integrating unit(310) so that an initially received RF signal and a period of the triangular pulse are identical. A low pass filter(330) filters the triangular pulse output from the frequency multiplying unit(320)...
Use the Fundamental Theorem of Calculus to evaluate the integral. ∫0π/3sin2(x)dx Fundamental Theorem of Calculus: SupposeF:[a,b]→Rbe a function. Also suppose thatFis differentiable on[a,b]withF′(x)=f(x)for allx∈(a,b).Andf:[a,b]→Ris Riemann integrable....