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New posts in fresnel-integrals
Closed form of $\int e^{i\csc^2(x)}dx=\int \cos\left(\csc^2(x)\right)dx+i\int \sin\left(\csc^2(x)\right)dx$
special-functions
closed-form
hypergeometric-function
trigonometric-integrals
fresnel-integrals
Need help with $\int_0^\infty\left(\pi\,x+\frac{S(x)\cos\frac{\pi x^2}2-C(x)\sin\frac{\pi x^2}2}{S(x)^2+C(x)^2}\right)dx$
calculus
integration
special-functions
definite-integrals
fresnel-integrals
Trig Fresnel Integral
real-analysis
integration
definite-integrals
fresnel-integrals
Are Complex Substitutions Legal in Integration?
complex-analysis
integration
special-functions
improper-integrals
fresnel-integrals
Proof only by transformation that : $ \int_0^\infty \cos(x^2) dx = \int_0^\infty \sin(x^2) dx $
calculus
integration
complex-analysis
analysis
fresnel-integrals
An integral involving Fresnel integrals $\int_0^\infty \left(\left(2\ S(x)-1\right)^2+\left(2\ C(x)-1\right)^2\right)^2 x\ \mathrm dx,$
special-functions
improper-integrals
closed-form
fresnel-integrals
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