Martin Gales

1,262 reputation

618

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Quite a random guy here. 90% an engineer (Electrical Power Engineering student) and 10% a physicist. My favorite formula in mathematics:

$\int_{0}^{\infty}x^{-x}\ dx=1.9954...$

Favorite quote from mathematics:

In the theory of probability generating functions have been used since DeMoivre and Laplace, but the power and the possibilities of the method are rarely fully utilized.

(William Feller)

	1,262 reputation	bio	website		visits	member for	2 years, 7 months
618 badges		location			seen	yesterday

summary answers questions tags badges favorites bounties reputation activity

25 Answers

votes activity newest

6	Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
6	Ways to evaluate $\int \sec \theta \, d \theta$
4	Prove that $\int_0^{\infty} \frac{\sin(2013 x)}{x(\cos x+\cosh x)}dx=\frac{\pi}{4}$
4	Calculate integrals involving gamma function
4	Integrating $\int_0^{2\pi}\frac{1}{1+8\cos^2\theta}d\theta$

1,262 Reputation

+10	how to calculate the integral of $\sin^2(x)/x^2$
+10	How to derive $\cos\frac{n\pi}{3}=\frac{1+3(-1)^{[\frac{n+1}{3}]}}{4}$
+8	Proving $e^{i\pi} = -1$ without proving $e^{ix} = \cos x + i\sin x$
+5	Evaluating $\int_{0}^{\infty}\frac{\arctan (a\,\sin^2x)}{x^2}dx$

20 Questions

votes activity newest

17	Evaluating $\int_{0}^{1}\frac{1-x}{1+x}\frac{dx}{\ln x}$
16	Calculating the integral $\int_{0}^{\infty} \frac{\cos x}{1+x^2}\mathrm{d}x$ without using complex analysis
12	How many trees in a forest?
10	Evaluating $\int_{0}^{\infty}\sin^3(x)\cos[a\tan(x)]\frac{dx}{x}$
10	Evaluating $\int_{0}^{\infty}\frac{\arctan (a\,\sin^2x)}{x^2}dx$

26 Tags

35 integral × 23	10 real-analysis × 5
28 calculus × 11	8 integration × 4
14 definite-integral × 5	8 homework × 3
14 trigonometry × 5	7 complex-analysis × 5
10 sequences-and-series × 7	6 indefinite-integral