Harry Peter's user avatar
Harry Peter's user avatar
Harry Peter's user avatar
Harry Peter
  • Member for 10 years, 10 months
  • Last seen more than 1 year ago
14 votes

Integrals of $\sqrt{x+\sqrt{\phantom|\dots+\sqrt{x+1}}}$ in elementary functions

13 votes

Closed form for $\int_0^{\pi/2}\frac{\sqrt{1+\sin\phi}}{\sqrt{\sin2\phi}\,\sqrt{\sin\phi+\cos\phi}}d\phi$

12 votes
Accepted

How to integrate the bump functions,i.e,$\int_a^{b}e^{-\frac{1}{x-a}+\frac{1}{x-b}}dx$,where $a<b$.

11 votes

Integral $\int_0^\infty\left(x+5\,x^5\right)\operatorname{erfc}\left(x+x^5\right)\,dx$

11 votes
Accepted

Evaluate definite integral $\int_{-1}^1 \exp(1/(x^2-1)) \, dx$

11 votes

How are Fox-H functions useful in math?

10 votes

Integral $\int_1^\infty\frac{dx}{1+2^x+3^x}$

7 votes
Accepted

Integrating exponential of exponential function

6 votes

Compute the integral $\int\frac{e^x}{x}\mathrm dx$

6 votes

Definite Integral of $e^{ax+bx^c}$

6 votes
Accepted

integrals with error function

6 votes

Indefinite Integral for $\cos x/(1+x^2)$

5 votes

Integration of sqrt Sin x dx

5 votes

Integrating the following $\int \sqrt{\tan x+1}\,dx$

5 votes
Accepted

Integral involving exponential, power and Bessel function

5 votes
Accepted

$\int_a^bx^\alpha \exp\left[-\left(\frac{x-\delta}{\sigma}\right)^\alpha\right]dx$ Closed-form?

5 votes
Accepted

How to show that the Laplace transform of $\exp(-t^2)$ is $\frac{\sqrt{\pi}}{2}\exp(\frac{s^2}{4})\rm erfc(\frac{s}{2})$

4 votes

Integral of $\int\frac{1}{\log x}dx$

4 votes

LogSine Integral $\int_0^{\pi/3}\ln^n\big(2\sin\frac{\theta}{2}\big)\mathrm d\theta$

4 votes
Accepted

How to express a hypergeometric confluent function in the pFq form?

4 votes
Accepted

Computing $\int {\dfrac{\csc^{2014}x-2014}{\cos^{2014}x} dx}$

4 votes

Log Sine: $\int_0^\pi \theta^2 \ln^2\big(2\sin\frac{\theta}{2}\big)d \theta.$

4 votes

Evaluate $\int\frac{1+x+\sqrt{1+x^2}}{\sqrt{x+1}+\sqrt{x}}\,dx$

4 votes

Gamma Type Integral

4 votes

Compute $\int\frac{e^{f(x)}}{f(x)}\,dx$

4 votes
Accepted

Integration of $\int\frac{x^2-1}{\sqrt{x^4+1}} \, dx$

4 votes

Compute $\int\frac{x+2}{\sqrt{x^2+5x}+6}~dx$

4 votes
Accepted

Can this series be expressed as a Hyper Geometric function

3 votes

Improper integral of $\dfrac{x^2}{ e^x−1}$

3 votes
Accepted

Computing a double integral $\int_{-\infty}^\infty\int_{-\infty}^\infty\frac{f(t)}{1+{(x+g(t))}^2}dt\ dx$

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