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Dinesh Shankar

I am an undergraduate student, and I'm very interested in ultracold atoms.

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12 Difficult trigonometric integral. [Solved] Aug 19 '18
7 Minimum of $\left(\frac{1+\sin^2x}{\sin^2x}\right)^n+\left(\frac{1+\cos^2x}{\cos^2x}\right)^n$ Sep 23 '18
6 Evaluating the integral $\int_{0}^{\infty} \frac{\exp(-u^2)}{1+u^2} \, du$ Sep 11 '18
5 Solving $\sin\left(\frac{x}{x^2+1}\right)+\sin\left(\frac{1}{x^2+x+2}\right)=0$ Sep 23 '18
4 Exponential integral with square root in power Sep 21 '18
4 For $a\geq2$, $b\geq2$ and $c\geq2$, prove that $\left(a^3+b\right)\left(b^3+c\right)\left(c^3+a\right)\geq125 abc$ Sep 25 '18
4 Using trigonometry to prove $\frac{a}{1-a^2}+\frac{b}{1-b^2}+\frac{c}{1-c^2}=\frac{4abc}{\left(1-a^2\right)\left(1-b^2\right)\left(1-c^2\right)}.$ Sep 27 '18
4 How to integrate $\int_0^\infty \frac{\arctan(x) dx}{x(1+x^2)}$? Sep 12 '18
4 Evaluating $\int_{\pi/2}^{3\pi/2}\frac{1}{\pi\sqrt{1+d\cos(\gamma)}}d\gamma$ Oct 4 '18
4 How To Evaluate $ \int \frac{\sin^2x\cdot\cos^2x}{(\sin^3x + \cos^3x)^2}\ dx $? Oct 7 '18
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