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Mathematics
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Ty.'s user avatar
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Ty.
  • Member for 4 years, 4 months
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  • USA
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High school student who enjoys math, specifically integral calculus.

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View all questions and answers
22
How to show $\int_0^\infty\frac1{(1+x^2)(1+x^p)}$ doesn't depend on $p$?
Jun 16, 2020
20
Evaluate $\lim_{n\to\infty} \prod_{k=1}^n \frac{2k}{2k-1}\int_{-1}^{\infty} \frac{{\left(\cos{x}\right)}^{2n}}{2^x} \; dx$
May 23, 2020
20
Prove $\sum_{n=1}^{\infty} \arctan\left(\frac{1}{F_n}\right) \arctan\left(\frac{1}{F_{n+1}}\right)=\frac{\pi^2}{8}$
Apr 4, 2021
16
What is value of this integral? $\int_{0}^{\infty}\frac{\log(1+4x^2)(1+9x^2)(9+x^2)+(9+x^2)\log(4+x^2)(10+10x^2)}{(9+x^2)^{2}(1+9x^{2})}dx$
Jul 25, 2020
14
Evaluate $\int_0^1 \ln{\left(\Gamma(x)\right)}\cos^2{(\pi x)} \; {\mathrm{d}x}$
Jun 16, 2020
13
Integrate $\int_{-\infty}^{\infty} \frac{e^{2020x}-e^{x}}{x\left(e^{2020x}+1\right)\left(e^x+1\right)} \mathop{dx}$
Jun 22, 2020
12
Integral $\int_0^{\infty} \frac{\sin^3{x}}{x} \; dx$
Jun 13, 2020
12
Calculate $\frac{d}{dx}\left(x^x+x^{2x}+x^{3x}+...\right)$.
Jul 6, 2020
12
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
Jul 3, 2020
9
Family of Generalized Integrals ${I}(a,b,p)=\int_0^{ab} \left( \left\{\frac{x}{a}\right\}-p\right) \left( \left\{\frac{x}{b}\right\}-p\right) \; dx$
Jul 6, 2020