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Apr
16
revised Laplace Transform of an integral
adding more material
Apr
16
answered Laplace Transform of an integral
Apr
16
comment How to evaluate $\int_0^ \infty e^{-x\sinh(t)-\frac{1}{2}t}~dt$?
@Integrals: Do you mean using power series technique to evaluate the integral?
Apr
16
answered Laplace transform of integral equation
Apr
16
revised Prove that there exists only one function f such that…
adding alink
Apr
16
answered Prove that there exists only one function f such that…
Apr
16
answered How to evaluate $\int_0^ \infty e^{-x\sinh(t)-\frac{1}{2}t}~dt$?
Apr
16
comment Laplace transform of multiplication of three terms
@FlybyNight: It is enough for him to know the Laplace transform of $\sin 2t$ then he can use some properties of the Laplace transform and I believe this is the intention behind this question.
Apr
16
revised Laplace transform of multiplication of three terms
deleted 5 characters in body
Apr
16
comment Laplace transform of multiplication of three terms
I think you want you to use some properties of the Laplace transform.
Apr
16
revised Laplace transform of multiplication of three terms
adding more material
Apr
16
answered Laplace transform of multiplication of three terms
Apr
16
comment Find the solution to the recurrence relation: $a_n=3a_{n-1}+1; a_0=1$
How did you get your solution? You can use this technique.
Apr
16
comment fourier series analysis, show that for every integer n, using euler's formulas relating trigonometric and exponential functions
It is a straightforward calculations! Just change the integrand in terms of the exponential function and do the resulted integral
Apr
15
comment Evaluate $\sum\limits_{n\mathop=1}^{\infty}\frac{\sin2\pi nx}{\pi n}$
Why do you think your answer is wrong?
Apr
15
comment integral $I=\int_{-\infty}^\infty e^{-\alpha x^{2k}}dx$
Is the purpose of this question to evaluate the integral using power series technique?
Apr
15
revised Inverse matrix norm under simple conditions
improved formatting
Apr
15
comment Simple integral $\displaystyle\int \frac{e^x}{x^2-a^2}\ dx$
@David: The answer is in terms of the "exponential integral function" not "the exponential function". See here.
Apr
15
comment Simple integral $\displaystyle\int \frac{e^x}{x^2-a^2}\ dx$
It is not an elementary integral. You can have a closed form solution in terms of the exponential integral.
Apr
15
comment How to show $\int_{0}^{\infty}e^{-x}\ln^{2}x\:\mathrm{d}x=\gamma ^{2}+\frac{\pi ^{2}}{6}$?
@RandomVariable: Are you sure it is 90% of the problem? I already gave him a hint in the note to find $\Gamma''(s)$! Your answer does answer the question. In case he has a problem with $\Gamma''(s)$ he can ask a separate question.