A trigonometric integral is a type of integral that involves trigonometric functions such as sine (sin), cosine (cos), tangent (tan), and their reciprocals or inverses. These integrals often arise in a variety of contexts, including physics, engineering, and mathematics, particularly in calculus when dealing with periodic functions or problems involving angles.
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The sine and cosine integrals accumulate and , with different normalizations at zero and infinity. They arise in oscillatory integrals, Fourier transforms of singular kernels and Fourier series of logarithmic profiles.