Lectures related to Trigonometric integral

Generalized Integrals: Convergence and Divergence

Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.

Covers the properties of functions xr, r>0, on 10,1, including limits and integrals.

Covers integrals as the reciprocal function of the derivative and explains displacement integral of velocity and variation of speed and acceleration in rectilinear motion.

Two-loop Computations: External Legs and Internal Propagators

Covers the computation of two-loop diagrams with external legs and internal propagators.

Closed Surfaces and Integrals

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Functional Equation of Zeta and Hadamard Products

Covers the functional equation of the Zeta function and the Hadamard factorization theorem.

Mathematical Reminders: Derivatives, Primitives, Integrals

Covers mathematical reminders on derivatives, primitives, and integrals, including common functions and Taylor series expansions.

Exemples à connaître

Covers various examples related to mathematical functions, including derivatives and integrals.

Mathematical Functions

Covers mathematical functions, including limits, derivatives, integrals, and trigonometric functions.

Fresnel Integrals: Curvilinear Integrals in R^2

Explores Fresnel integrals through curvilinear integrals in R^2, focusing on cos(x²-y) and sin(x) functions.

Symmetry in Integrals & Matrix Elements

Explores the concept of symmetry in integrals and matrix elements.

Fourier Transform of a Digital Rectangular Window

Covers the calculation of the Fourier transform of a digital rectangular window.

Properties of Integrals: Techniques and Applications

Explores properties of integrals and techniques for calculation.

Periodic Functions: Integrals and Approximations

Discusses periodic functions, integrals, and approximations using trigonometric polynomials and proofs of related theorems.

Curve Length and Function Definition

Explores curve length, function definition, continuity, derivatives, integrals, and graphical representations of functions in two variables.

Advanced Analysis 2: Series and Integrals

Covers advanced topics in analysis, focusing on series and integrals, including exercises and discussions on continuity and convergence criteria.

Fourier Series: Approximation and Transformations

Covers the concept of Fourier series and their practical applications in signal processing.

Fourier Series: Harmonic Analysis

Covers the Fourier series representation of periodic signals and harmonic analysis.

Solutions to QCM 1-3

Covers the solutions to multiple-choice questions 1 to 3.

Limits of Trigonometric Functions

Covers the concept of limits of trigonometric functions, focusing on the sine function and rational functions.