Fourier Cosine Transform of 1/(1+x²): Everything you need to know

Fourier Cosine Transform | 1/(1 + x²) | 1BMATEE301 Module 3 | 1BMATEC301 Module 2 | 1BMATME301 Module 2 In this video, you'll learn how to find the infinite Fourier Cosine Transform of f(x) = 1/(1 + x²) — an important VTU 3rd Semester exam topic. Step-by-step solution for VTU 2025 Scheme students. ━━━━━━━━━━━━━━━━━━━━━━ APPLICABLE FOR VTU SUBJECT CODES ━━━━━━━━━━━━━━━━━━━━━━ 1BMATEE301 – Module 3: Fourier Transforms & Z-Transforms 1BMATEC301 – Module 2: Fourier Transforms 1BMATME301 – Module 2: Fourier Transform & Z-Transform ━━━━━━━━━━━━━━━━━━━━━━ SYLLABUS TOPIC ━━━━━━━━━━━━━━━━━━━━━━ Fourier Transforms – Fourier Sine and Cosine Transforms ━━━━━━━━━━━━━━━━━━━━━━ PROBLEM SOLVED IN THIS VIDEO ━━━━━━━━━━━━━━━━━━━━━━ Find the infinite Fourier Cosine Transform of f(x) = 1/(1 + x²). ━━━━━━━━━━━━━━━━━━━━━━ PREVIOUS VIDEO ━━━━━━━━━━━━━━━━━━━━━━ Fourier Cosine Transform of e^(−ax) and x·e^(−ax)    • Can you solve this? Fourier Cosine Transfo...   ━━━━━━━━━━━━━━━━━━━━━━ NEXT VIDEO IN THIS SERIES ━━━━━━━━━━━━━━━━━━━━━━ Z-Transform of k^n and Z-Transform of 1    • The Easiest Way to Solve Z-Transform of k^...   ━━━━━━━━━━━━━━━━━━━━━━ COMPLETE PLAYLISTS BY SUBJECT CODE ━━━━━━━━━━━━━━━━━━━━━━ 1BMATEE301: Module 1 – Complex Analysis    • 1BMATEE301 Module 1 | Complex Analysis Pro...   Module 2 – Fourier Series    • 1BMATEE301 Module 2 | Fourier Series Compl...   Module 3 – Fourier Transforms & Z-Transforms    • 1BMATEE301 Module 3 | Fourier Transforms &...   Module 4 – Probability Distributions & Sampling Theory    • 1BMATEE301 Module 4 | Probability distribu...   Module 5 – Linear Programming Problems    • 1BMATEE301 Module 5 | Linear Programming P...   Updated – Probability Distributions (Binomial, Poisson, Normal & Exponential)    • Probability Distributions | Binomial, Pois...   ━━━━━━━━━━━━━━━━━━━━━━ 1BMATEC301: Module 1 – Fourier Series    • 1BMATEC301 Module 1 | Fourier Series Compl...   Module 2 – Fourier Transforms    • 1BMATEC301 Module 2 | Fourier Transforms C...   Module 3 – Z-Transforms    • 1BMATEC301 Module 3 | Z-Transforms Complet...   Module 4 – Linear Programming Problems    • 1BMATEC301 Module 4 | Linear Programming P...   ━━━━━━━━━━━━━━━━━━━━━━ 1BMATME301: Module 1 – Fourier Series    • 1BMATME301 Module 1 | Fourier Series Compl...   Module 2 – Fourier Transform & Z-Transform    • 1BMATME301 Module 2 | Fourier Transform & ...   Module 3 – Partial Differential Equations    • 1BMATME301 Module 3 | Partial Differential...   Module 5 – Statistics-2    • 1BMATME301 Module 5 | Statistics-2 Complet...   ━━━━━━━━━━━━━━━━━━━━━━ WHO IS THIS FOR? ━━━━━━━━━━━━━━━━━━━━━━ BE and B.Tech 3rd Semester VTU and Autonomous students (Karnataka) Subject Codes: 1BMATEE301, 1BMATEC301, 1BMATME301 Branch: EEE, ECE, Mechanical and allied branches For Autonomous colleges – if you have this in your syllabus, study this Students preparing for VTU internals, externals and backlog exams ━━━━━━━━━━━━━━━━━━━━━━ WHY WATCH THIS VIDEO? ━━━━━━━━━━━━━━━━━━━━━━ Step-by-step VTU exam solution Exam-focused VTU and Autonomous problems Simple, easy-to-understand method Covers repeated VTU exam questions Perfect for last-minute VTU revision ━━━━━━━━━━━━━━━━━━━━━━ STAY CONNECTED ━━━━━━━━━━━━━━━━━━━━━━ WhatsApp Channel: https://whatsapp.com/channel/0029Vb6c... Telegram: https://t.me/vtumathswithmathematicst... Instagram: https://www.instagram.com/_mathematic... Subscribe and hit the bell icon so you never miss a video! If this video helped you, LIKE, SHARE with your VTU classmates, and COMMENT which problem you want next! #VTU #VTUKarnataka #1BMATEE301 #1BMATEC301 #1BMATME301 #FourierTransform #EngineeringMathematics #VTU2025 #VTU3rdSem #VTUMaths #VTU2025Scheme #VTUExams #VTUImportantQuestions #EEE #ECE #Mechanical #BETech #Autonomous