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International Journal of Advanced Research in Computer and Communication Engineering
International Journal of Advanced Research in Computer and Communication Engineering A monthly Peer-reviewed & Refereed journal
ISSN Online 2278-1021ISSN Print 2319-5940Since 2012
IJARCCE adheres to the suggestive parameters outlined by the University Grants Commission (UGC) for peer-reviewed journals, upholding high standards of research quality, ethical publishing, and academic excellence.
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AI conference in Asia, the SuperAI conference - May 2026

SuperAI
📅 Date: 15-16 May 2026
🏫 Organized by: Marina University
📚 Department: Department of AI&ML
📖 Volume: VOLUME 15, ISSUE 1, MAY 2026

Analysis of Nonlinear Systems Using the Equation f(x) = x² + āˆ«ā‚€^āˆž e⁻ˣ dx and Optimization via āˆ‡f(x)

Pavan Rajr, Shivani Malika, Red Networks, California, United States, Ginz Web Services, California, United States, For the analysis and optimization of the nonlinear function \(f(x) = x^{} + \int_{}^{\infty} e^{-x} \, dx\), the function simplifies to \(f(x) = x^{} + \), with its global minimum occurring at \(x = \) where \(f(), = \)., . Evaluate the integral component, The function contains an improper integral that acts as a constant term. Solving the integral of the, exponential decay function from zero to infinity:, \(\int _{}^{\infty }e^{-x}\, dx=\left[-e^{-x}\right]_{}^{\infty }=\left(\lim _{x\rightarrow \infty }-e^{-, x}\right)-(-e^{})=-(-)=\)Substituting this back into the original expression, the system's governing, equation becomes:

Department of Computer Science and Engineering, Arasu Engineering College Prevention and Detection of Botnet Attacks using Double layered machine learning Technique

S. Parvathy, S. Mounika, M. Nihidha, M. Sruthi

Zero Hunger: Smart Food Distribution Platform

Sharana Kumar K, Ajay Kumar Gouda S, Vaishnavi Y, MD.Akif Bari Shaik