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lab bhattacharjee

Kolkata, India

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181
How to check if a point is inside a rectangle?
math.stackexchange.com

124
$100$-th derivative of the function $f(x)=e^{x}\cos(x)$
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114
A family has three children. What is the probability that at least one of them is a boy?
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89
$\sqrt{7\sqrt{7\sqrt{7\sqrt{7\sqrt{7\cdots}}}}}$ approximation
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69
Find all real numbers $x$ for which $\frac{8^x+27^x}{12^x+18^x}=\frac76$
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66
sun.reflect.annotation.TypeNotPresentExceptionProxy error when deploy web-ear
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50
Can $\sqrt{n} + \sqrt{m}$ be rational if neither $n,m$ are perfect squares?
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50
Find $4\cos\theta-3\sin\theta$, given that $4\sin \theta +3\cos \theta = 5$
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47
which is larger number? $\sqrt{7}-\sqrt{6}$ or $\sqrt{6}-\sqrt{5}$
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44
How to solve $x^3=-1$?
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42
Easy way to compute logarithms without a calculator?
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38
How to solve $x^{1/2}-x^{1/3} = 0$
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38
Why does $\tan^{-1}(1)+\tan^{-1}(2)+\tan^{-1}(3)=\pi$?
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38
Alternating sum of binomial coefficients is equal to zero
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37
Evaluate the integral $\int^{\frac{\pi}{2}}_0 \frac{\sin^3x}{\sin^3x+\cos^3x}\,\mathrm dx$.
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36
How to prove $\sum_{n=0}^{\infty} \frac{n^2}{2^n} = 6$?
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32
Sum of square binomial coefficients
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32
Trig sum: $\tan ^21^\circ+\tan ^22^\circ+\cdots+\tan^2 89^\circ = \text{?}$
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32
Sum of tangent functions where arguments are in specific arithmetic series
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32
Calculating $1+\frac13+\frac{1\cdot3}{3\cdot6}+\frac{1\cdot3\cdot5}{3\cdot6\cdot9}+\frac{1\cdot3\cdot5\cdot7}{3\cdot6\cdot9\cdot12}+\dots? $
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31
The limit of a sum $\sum_{k=1}^n \frac{n}{n^2+k^2}$ as $n\rightarrow\infty$
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31
Alternating sum of binomial coefficients: given $n \in \mathbb N$, prove $\sum^n_{k=0}(-1)^k {n \choose k} = 0$
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30
$a+b+c =0$; $a^2+b^2+c^2=1$. Prove that: $a^2 b^2 c^2 \le \frac{1}{54}$
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30
Which is larger? $20!$ or $2^{40}$?
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29
Given that $x+\frac{1}{x}=\sqrt{3}$, find $x^{18}+x^{24}$
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29
How to calculate this $\sqrt{3\sqrt{5\sqrt{3\sqrt{5\cdots}}}}$
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26
How to evaluate the integral $\int \sqrt{1+\sin(x)} dx$
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26
Find the sum of the series $\sum \frac{1}{n(n+1)(n+2)}$
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25
Proving that $\frac{\phi^{400}+1}{\phi^{200}}$ is an integer.
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25
Show that $\sqrt[3]{2+\frac {10} 9\sqrt 3}+\sqrt[3]{2-\frac {10} 9\sqrt 3}=2$
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