qoqosz

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seen Mar 29 at 12:10
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I'm just a physics student.


27 Answers

newest activity votes
20
Evaluate the integral: $\int_{0}^{1} \frac{\ln(x+1)}{x^2+1} dx$
11
$\lim_{n\rightarrow\infty} e^{-n} \sum\limits_{k=0}^{n} \frac{n^k}{k!}$
10
infinite series involving harmonic numbers and zeta
10
Evaluate $\lim_{x \to \infty} \frac{1}{x} \int_x^{4x} \cos\left(\frac{1}{t}\right) \mbox {d}t$
8
Visualizing Commutator of Two Vector Fields
7
Compute: $\sum_{k=1}^{\infty}\sum_{n=1}^{\infty} \frac{1}{k^2n+2nk+n^2k}$
7
Evaluating $\frac{1}{\sqrt{2\pi}}\int_{-\infty}^{\infty}\exp(n x-\frac{x^2}{2}) \sin(2 \pi x)dx$
6
Solving a complex integral
6
Prove that: $\int_{0}^{1} \frac{x^{4}\log x}{x^2-1}\le \frac{1}{8}$
6
Euler's product formula for $\sin(\pi z)$ and the gamma function
5
Evaluating Integral with Residue Theorem
5
Limit finding of an indeterminate form
4
Integral as a limit of a sum
4
Norm of integral operator in $L_2$
3
Computing the derivative from the definition
2
Find the functions family that satisfies the inequality $\int_0^1 \frac{dx}{1+f^{2}(x)} <\frac{f(1)}{f'{(1)}}$
2
Series Expansion
2
Equivalent of $ I_{n}=\int_0^1 \frac{x^n \ln x}{x-1}\mathrm dx, n\rightarrow \infty$
1
Solving the integral $\int_{0}^{\infty} \frac{\sin{x}}{x} \ dx = \frac{\pi}{2}$?
1
Solving the integral $\int_{0}^{\infty} \frac{\sin{x}}{x} \ dx = \frac{\pi}{2}$?
1
Two sums for $\pi$
1
A linear differential equation
1
How to calculate first variation of length of curve?
1
Prove that: $\frac1{20}\le \int_{1}^{\sqrt 2} \frac{\ln x}{\ln^2x+1} dx$
1
Minimum of integral
1
Is there a simple way of arriving at this solution?
1
Integral of product of exponential function and two complementary error functions (erfc)