lab bhattacharjee

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http://in.linkedin.com/pub/lab-bhattacharjee/13/190/641


1,246 Answers

newest activity votes
78
How to check if a point is inside a rectangle?
41
Find all real numbers $x$ for which $\frac{8^x+27^x}{12^x+18^x}=\frac76$
31
How to solve $x^{1/2}-x^{1/3} = 0$
25
How to solve $x^3=-1$?
21
Which methods to use to integrate $\int{\frac{x^4 + 1}{x^2 +1}}\, dx$
21
Why does $\tan^{-1}(1)+\tan^{-1}(2)+\tan^{-1}(3)=\pi$?
19
equation $\frac{2008\cdot2006\cdot2004\cdots1006}{1\cdot3\cdot5\cdots1003}=4^x $
16
Proving there are no integers $a, b, c$ satisfying $12a + 18b + 27c = 227$
15
Calculating :$((\sqrt{3} + \tan (1^\circ)).((\sqrt{3} +\tan(2^\circ))…((\sqrt{3}+\tan(29^\circ))$
14
Show that $\sqrt[3]{2+\frac {10} 9\sqrt 3}+\sqrt[3]{2-\frac {10} 9\sqrt 3}=2$
14
Find all integers such that $\frac{n^3-3}{n^2-7}$ is an integer
14
Help me solve this olympiad challenge?
14
Integrating $\frac{\log(1+x)}{1+x^2}$
14
Factorise the determinant $\det\Bigl(\begin{smallmatrix} a^3+a^2 & a & 1 \\ b^3+b^2 & b & 1 \\ c^3+c^2 & c &1\end{smallmatrix}\Bigr)$
13
Calculate $1\times 3\times 5\times \cdots \times 2013$ last three digits.
12
Evaluate $\sum_{k=1}^{\infty} \frac{k^2-1}{k^4+k^2+1}$
12
Proving that $\left(\frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\cdots+\frac{1}{n!}\right)$ has a limit
10
Showing that $\displaystyle\int_{-a}^{a} \frac{\sqrt{a^2-x^2}}{1+x^2}dx = \pi\left (\sqrt{a^2+1}-1\right)$.
10
how many number like $119$
10
What is the value of $N$?
10
Prove that $5/2 < e < 3$?
10
Prime $p$ with $p^2+8$ prime
10
Prove that an expression is divisible by a polynomial
10
Why is the last digit of $n^5$ equal to the last digit of $n$?
9
Prove $7|x^2+y^2$ iff $7|x$ and $7|y$
9
How do I evaluate $\lim_{n \rightarrow \infty} \frac{1\cdot2+2\cdot3 +3\cdot4 +4\cdot5+\ldots}{n^3}$
9
Help solving the limit $\lim_{n\to \infty} \left(1+\frac{1}{n!}\right)^{2n}$
9
Integral of type $\displaystyle \int\frac{1}{\sqrt[4]{x^4+1}}dx$
9
How can I find $\lim_{n \to \infty}[(1-\frac{1}{2^2})(1-\frac{1}{3^2})\cdots(1-\frac{1}{n^2})]$
8
Limit of $\lim_{x \to 0}\left (x\cdot \sin\left(\dfrac{1}{x}\right)\right)$ is $0$ or $1$?
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