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Kamal Saleh

Pure Mathematical Space

I am a 14-year-old college freshman. I like anything knowledge-based. When I'm bored, I would spin this long metal stick and get stung by fire ants, both found in my backyard.

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Top Questions
14 votes

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

calculus integration contest-math asked Feb 17 at 18:22
math.stackexchange.com

8 votes

Approximating cube roots to high precision.

calculus approximation radicals asked Jul 17, 2023 at 21:45
math.stackexchange.com

7 votes

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

calculus integration sequences-and-series definite-integrals summation asked Jul 24, 2023 at 1:28
math.stackexchange.com

7 votes

Proving that $\lim_{x\rightarrow0}\frac{H_x}x=\frac{\pi^2}6$

real-analysis calculus limits analysis harmonic-numbers asked Mar 9, 2023 at 4:29
math.stackexchange.com

6 votes

Is $\sum_{k=1}^\infty \frac{1}{p_{p_k}}$, where $p_k$ is the $k$-th prime, irrational? transcendental?

sequences-and-series irrational-numbers transcendental-numbers asked Nov 12, 2022 at 21:31
math.stackexchange.com

6 votes

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

calculus integration definite-integrals factorial euler-mascheroni-constant asked Jan 2, 2023 at 17:43
math.stackexchange.com

6 votes

Calculate $\int_{-\infty}^\infty\frac{x^2}{1+x^8}dx$

calculus integration complex-analysis analysis definite-integrals asked Feb 1, 2023 at 16:01
math.stackexchange.com

6 votes

Imaginary numbers and partial fraction decomposition in integration

calculus integration complex-numbers partial-fractions asked Feb 9, 2023 at 19:02
math.stackexchange.com

6 votes

How to find $\int_0^\infty\frac{x!}{x^x}dx$

calculus integration definite-integrals residue-calculus asked Feb 14, 2023 at 17:05
math.stackexchange.com

6 votes

2023 MIT Integration Bee Regular Season Problem 6

calculus integration contest-math indefinite-integrals asked Feb 14, 2023 at 21:11
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1 2

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