Accelerator's user avatar
Accelerator's user avatar
Accelerator's user avatar
Accelerator
  • Member for 1 year, 10 months
  • Last seen this week
14 votes

Find the value of the integral: $\int_{0}^{1}\frac{x}{1+x^4}\arctan(x)\,\mathrm{d}x$

10 votes
Accepted

Proof of $\int_0^1\ln\left(\frac{1}{\ln \frac{1}{x}}\right)dx=\gamma$

9 votes
Accepted

How to evaluate $\int_0^{\pi/2} x^2 \ln^2(2\cos{x}) \mathrm{d}x$

7 votes

How to evaluate $\int_0^{\frac{\pi}{2}} \frac{\ln(\cos(x))}{1+\sin^2(x)} \, dx$

7 votes

Any different way to solve an integral involving a trigonometric ratio?

6 votes
Accepted

Integrating $\int_{-2}^{-1} \frac{\arctan(1-x)}{x}\mathrm dx$

6 votes

Are there any other decent methods to evaluate $\int_0^1 \frac{\ln \left(1-x^4\right)}{1+x^2} d x?$

6 votes

Understanding the definition of "Indefinite integral".

5 votes
Accepted

How to derive that $\lim_{n\to\infty}\frac{n!}{(n-a)!} = {1\over{(-a)}!}$

5 votes

Error in the tree diagram of the chain rule?

5 votes

Strange contour integral: $\int_0^{\infty} \frac{e^{\cos(x)}\sin(\sin(x))}{x} dx$ using residue calculus

5 votes

Evaluating $\int_{0}^{1}\frac{\arctan(x)}{x^2+x+1}\,dx$

5 votes

Evaulate $\int_{-\infty}^{\infty} \frac{\ln(x^2+1)}{x^4+x^2+1}dx$

4 votes
Accepted

Evaluate integral $\int_{-\infty}^\infty\Gamma(1+ix)\Gamma(1-ix)~dx$

4 votes

Evaluate : $\int_0^{\frac{\pi}{2}} \frac{\ln(\sec ^2 x)\sec^2x }{(\sec ^2 x+1)\tan x}\mathrm dx$

4 votes

More methods to evalute this integral ; $I=\int_0^2 x(8-x^3)^{\frac{1}{3}} \, dx$

4 votes

Solve $\int_0^\infty\frac x{e^x-e^{\frac x2}}dx$

4 votes

Solve $\int_0^\infty\frac{\ln(2e^x-1)}{e^x-1}dx$

4 votes

How to integrate the above integrand? Please help me out.

4 votes

Bizarre Definite Integral

4 votes
Accepted

Evaluating the integral $\int_0^R e^{-x^2}\sin(ax) \,dx$

4 votes
Accepted

Integral $\int\limits_0^1 {{{\left( {\frac{x}{{1 - x}}} \right)}^x}} \sin \left( {\pi x} \right)dx$

4 votes

Find the exact value of $\int_{0}^{2}x[\frac{1}{x}]dx$.

4 votes
Accepted

Any ideas on how to perform this integral?

4 votes
Accepted

Compute the following integral over a closed curve

4 votes
Accepted

Can you square / cube the value of pi and use the degrees radians?

4 votes

How do we evaluate $\sum_{k=1}^{\infty} \frac{1}{3k-1}-\frac{1}{3k}$

4 votes

Definite integral by Malmsten's formula

4 votes

Evaluate the integral $I=\int_0^1 \sqrt{-1+\sqrt{\frac{4}{x}-3}}\ dx$

3 votes

What's the common theme to look out for, while applying Feynman's Integral tricks?

1
2 3 4 5