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Graham Hesketh

Interested in all things cloud and data science.

PhD Nonlinear Effects in Multimode Optical Fibers (University of Southampton, UK)
MSc Quantum Fields and Fundamental Forces, (Imperial College , London, UK)
BSc Physics with Astrophysics, (Uni. of Kent, Canterbury, UK).

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25 An integral involving Fresnel integrals $\int_0^\infty \left(\left(2\ S(x)-1\right)^2+\left(2\ C(x)-1\right)^2\right)^2 x\ \mathrm dx,$ May 22 '13
22 Closed form for $\int_{-1}^1\frac{\ln\left(2+x\,\sqrt3\right)}{\sqrt{1-x^2}\,\left(2+x\,\sqrt3\right)^n}dx$ Mar 9 '14
18 Symmetry of function defined by integral Nov 1 '13
17 Can we simplify $\int_0^{\pi}\left(\frac{\sin nx}{\sin x}\right)^mdx$? Aug 29 '13
14 How to prove $\int_{-\infty}^{+\infty} f(x)dx = \int_{-\infty}^{+\infty} f\left(x - \frac{1}{x}\right)dx?$ Aug 1 '13
13 The Value of a series Jul 27 '13
12 Improper Integral $\int\limits_0^1\frac{\ln(x)}{x^2-1}\,dx$ Oct 24 '13
10 How prove this $\int_{0}^{\infty}\sin{x}\sin{\sqrt{x}}\,dx=\frac{\sqrt{\pi}}{2}\sin{\left(\frac{3\pi-1}{4}\right)}$ May 21 '13
10 Do these integrals have a closed form? $I_1 = \int_{-\infty }^{\infty } \frac{\sin (x)}{x \cosh (x)} \, dx$ May 21 '14
10 Euler's integral problem May 25 '14
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