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omegadot
  • Member for 8 years, 10 months
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  • Nowra, New South Wales, Australia
19 votes

Unexpected appearances of $\pi^2 /~6$.

18 votes

Evaluate $\int_0^{\pi/4}{(4\cot x\ln\sec x-x)\ln^2\tan xdx}$

13 votes

Solving the integral $\int_0^1\int_0^1\frac{1}{(1-\alpha x^\beta y^\gamma)^2}dxdy$

11 votes

Is there a closed-form solution for $\sum_{n=1}^{\infty} \sum_{m=1}^{\infty} \frac{1}{nm(3n+m)}$?

11 votes

Evaluating $\int_0^1\frac{x^{2/3}(1-x)^{-1/3}}{1-x+x^2}dx$

10 votes

How to compute $\int_{0}^{1}\left (\frac{\arctan x}{1+(x+\frac{1}{x})\arctan x}\right )^2dx$

10 votes

Methods to solve $\int_{0}^{\infty} \frac{e^{-x^2}}{x^2 + 1}\:dx$

9 votes

When to use $y = \frac{1 + x}{1 - x}$ when evaluating definite integrals

8 votes
Accepted

Hint for solving a definite integral

8 votes

What is the correct symbol for "equal-rounded"?

8 votes

Evaluate $\sum_{n=1}^\infty\frac{(-1)^{n-1}H_n}{(2n+1)^3}$

8 votes

Integral $\int_0^1 \frac{\arctan x}{x^2-x-1}dx$

7 votes

Legendre Polynomial Orthogonality Integral

7 votes

how do we prove integral sechx?

7 votes
Accepted

Is the closed form for $\sum_{k=1}^\infty\frac{\overline{H}_k}{k^m}$ known in the literature?

6 votes

How to find sum of the infinite series $\sum_{n=1}^{\infty} \frac{1}{ n(2n+1)}$

6 votes
Accepted

Algebraic solution to natural logarithm equations like $1-x+x\ln(-x)=0$

6 votes

Any simple way for proving $\int_{0}^{\infty} \mathrm{erf(x)erfc{(x)}}\, dx = \frac{\sqrt 2-1}{\sqrt\pi}$?

6 votes

Sum of infinite series $\sum_{i=1}^{\infty} \frac 1 {i(i+1)(i+2)...(i+n)}$

6 votes
Accepted

Closed solution of $\int\frac{x^n}{\sum_{k=0}^{n} \frac{x^{k}}{k!}}dx$

6 votes

Evaluate $\int_{0}^{\frac{\pi}{2}}\frac{x^2}{ \sin x}dx$

6 votes
Accepted

Improper integral $ \int\limits_0^{\infty} \frac{ x^2 \arctan x }{x^4 + x^2 + 1 } dx $

6 votes
Accepted

Evaluating what looks like a Frullani integral

6 votes

closed form for $\int_{1/4}^{3/4} x^n(1-x)^n \, dx$

6 votes
Accepted

Evaluate $\int_{-\pi/4}^{\pi/4}\frac{x}{\sin x}\mathrm{d}x$

5 votes

Great books on all different types of integration techniques

5 votes

Find: $\lim_{x\to\infty} \frac{\sqrt{x}}{\sqrt{x+\sqrt{x+\sqrt{x}}}}.$

5 votes
Accepted

Different ways to tackle the integral $\int_0^1\sqrt\frac x{1-x}\,dx$

5 votes
Accepted

On the way of solving Integral $\int_{0}^{2\pi}\frac{x\sin^{2n}x}{\sin^{2n}x+\cos^{2n}x}dx$.

5 votes
Accepted

I need a good book for techniques of indefinite integrals?

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