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Manjoy Das

Always want to dive in the ocean of mathematics. Maths is nothing but a never ending process of living life.

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  • Member for 2 years, 7 months
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  • Last seen Jan 11 at 8:19

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3 Integration of $ \cos x.\cos 2x…\cos nx$ Dec 30 '20
2 Show that the series of functions $\sum\limits_{n\geq 1} {x\over n(1+nx^2)} $ is uniformly convergent for all real $x$ Apr 8 '20
2 Length of the Polar Curve Apr 29 '20
1 Prove that $2$ and $2i$ are irreducible in $R = \{a+ 2b i \mid a,\,b\in \mathbb{Z}\}$ Apr 23 '20
1 Find the area enclosed by the graphs of $y = -x^2 + 4x + 8$ and $y = x^2 - 2x$ from $x = -1$ to $x = 4$ May 8 '20
1 A false conjecture by Goldbach Aug 3 '20
1 Show that $[2x]+[2y] \geq [x]+[y]+[x+y]$ Nov 4 '20
1 Outward unit normal vector of $z=0$ May 2 '20
1 Verify that the vector field $\vec{V}(x,y,z)$ = $\frac{y\vec{i}-x\vec{j}}{x^2+y^2}$ is irrotational when $(x,y) \neq (0,0)$ Dec 30 '20
1 Show that the series of functions $\sum\limits_{n\geq 1} {x\over n(1+nx^2)} $ is uniformly convergent for all real $x$ Apr 8 '20
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