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lab bhattacharjee

Kolkata, India

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

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Top Questions
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80
How to check if a point is inside a rectangle?
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42
Find all real numbers $x$ for which $\frac{8^x+27^x}{12^x+18^x}=\frac76$
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31
How to solve $x^{1/2}-x^{1/3} = 0$
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25
How to solve $x^3=-1$?
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21
Why does $\tan^{-1}(1)+\tan^{-1}(2)+\tan^{-1}(3)=\pi$?
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21
Which methods to use to integrate $\int{\frac{x^4 + 1}{x^2 +1}}\, dx$
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19
equation $\frac{2008\cdot2006\cdot2004\cdots1006}{1\cdot3\cdot5\cdots1003}=4^x $
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19
Solve $\sqrt{x+4}-\sqrt{x+1}=1$ for $x$
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16
Proving there are no integers $a, b, c$ satisfying $12a + 18b + 27c = 227$
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15
Calculating :$((\sqrt{3} + \tan (1^\circ)).((\sqrt{3} +\tan(2^\circ))…((\sqrt{3}+\tan(29^\circ))$
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14
Factorise the determinant $\det\Bigl(\begin{smallmatrix} a^3+a^2 & a & 1 \\ b^3+b^2 & b & 1 \\ c^3+c^2 & c &1\end{smallmatrix}\Bigr)$
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14
Integrating $\frac{\log(1+x)}{1+x^2}$
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14
Help me solve this olympiad challenge?
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14
Find all integers such that $\frac{n^3-3}{n^2-7}$ is an integer
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14
Show that $\sqrt[3]{2+\frac {10} 9\sqrt 3}+\sqrt[3]{2-\frac {10} 9\sqrt 3}=2$
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12
Proving that $\left(\frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\cdots+\frac{1}{n!}\right)$ has a limit
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12
Find all $f(x)$ if $f(1-x)=f(x)+1-2x$?
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12
How to evaluate the trigonometric integral $\int \frac{1}{\cos x+\tan x }dx$
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11
Evaluate $\sum_{k=1}^{\infty} \frac{k^2-1}{k^4+k^2+1}$
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10
Why is the last digit of $n^5$ equal to the last digit of $n$?
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10
Prove that an expression is divisible by a polynomial
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10
Prime $p$ with $p^2+8$ prime
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10
Prove that $5/2 < e < 3$?
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10
What is the value of $N$?
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10
how many number like $119$
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10
Showing that $\displaystyle\int_{-a}^{a} \frac{\sqrt{a^2-x^2}}{1+x^2}dx = \pi\left (\sqrt{a^2+1}-1\right)$.
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10
Integral of type $\displaystyle \int\frac{1}{\sqrt[4]{x^4+1}}dx$
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9
Help solving the limit $\lim_{n\to \infty} \left(1+\frac{1}{n!}\right)^{2n}$
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9
How do I evaluate $\lim_{n \rightarrow \infty} \frac{1\cdot2+2\cdot3 +3\cdot4 +4\cdot5+\ldots}{n^3}$
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9
Prove $7|x^2+y^2$ iff $7|x$ and $7|y$
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