Aritra Das's user avatar
Aritra Das's user avatar
Aritra Das's user avatar
Aritra Das
  • Member for 9 years
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13 votes
Accepted

Find $\int_{\pi /4}^{65\pi /4} \frac{dx}{(1+2^{\cos x})(1+2^{\sin x})}$

9 votes

Is there a list of all typos in Hoffman and Kunze, Linear Algebra?

6 votes
Accepted

Find the $m$ such $a_{n+1}=a^5_{n}+487$

5 votes
Accepted

Find real roots of the equation

4 votes

sum of solutions of $\{(x,y,z)\mid x+y+z=k\}$, $k = 1,\ldots,N$

4 votes
Accepted

Is a vector in $\Bbb R^2$ equivalent to a vector in $\Bbb R^3$ with the same first two components and $0$ as the third component?

3 votes
Accepted

Find a matrix $E$ such that $EA= B$

3 votes
Accepted

If $x \geq C$, where $C > 0$ is a constant, then what is the least upper bound for $\dfrac{2x}{x + 1}$?

3 votes
Accepted

Solve Linear Diophantine $12x+18y = 54$

2 votes
Accepted

$\frac {2 \cdot 3^{m + 1}}{k} - \frac {2 \cdot 3^{m}}{k + 1} \in \Bbb N_+$, find all possible values of $k, m$.

2 votes

Complex integration problem via Cauchy's integral formula

2 votes

$7^{6} | (a+b+ab)^2$ Find the value of $a,b$

2 votes
Accepted

Probability of getting a five digit number divisible by 5 but with no two consecutive digits identical

2 votes
Accepted

Show that $\gcd(a,b)=d\Rightarrow\gcd(a^2,b^2)=d^2\ $

2 votes

A limit of the p-th power of a function integral

2 votes

$f(x)=\tan x$ for rationals, $f(x)=x^2+1$ for irrationals At exactly how many points will $f(x)$ be continuous within $[0, 6 \pi]$

2 votes

Solve matrix equation with given matrices A and B

1 vote

Evaluation of product of $n$ terms of series , If $n\rightarrow \infty$

1 vote

Whether set of 3D vectors span space $\{(x, y, z) | x + y + z = 0\}$

1 vote

How to prove $\sqrt3 + \sqrt[3]{2}$ is a irrational number?

1 vote
Accepted

Integrate $\int x^{\sin x} \, (1+ x \cos x \ln (x)+ \sin x ) \, dx$

1 vote

How to Find the Minimum Value for $\frac{\tan x}{x}$ (piecewise defined)?

1 vote

Differential Equation $\frac{dy}{dx} =\frac{x}{(x^2y + y^3}$

1 vote
Accepted

General solution to differential equation, given a polynomial general solution

1 vote

Clarification on a Inverse modulo exercise

1 vote

Consider $f : \mathbb{N} ā†’ \mathbb{Z}$ defined as $f (n) = \frac{(āˆ’1)^n (2nāˆ’1)+1}{4}$. Find its inverse.

1 vote

Calculate: $16^{4321}\pmod{9}$

0 votes

Maximum value of $\frac{\alpha\overline{\beta}+\overline{\alpha}\beta}{|\alpha\beta|}$

0 votes

The Set $x:\left |x+\frac{1}{x}\right|>6=?$

0 votes

How to evaluate $\lim\limits_{x\to 0} \frac{\sin x - x + x^3/6}{x^3}$