Question

Reference for Equation

score 94 · Answer 1 · 2026-04-10 18:14:38

94

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Reference for Equation

Published on 10 Apr 2026 - 18:14

score 331 · Answer 2 · 2026-04-17 01:15:38

331

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Possible result of integral $\int_{0}^{\infty}\left(x^{\frac{\sin\left(\pi x\right)}{x}}-1\right)dx=0$: Too good to be true?

Published on 17 Apr 2026 - 1:15

score 2.4k · Answer 3 · 2026-04-12 00:25:44

2.4k

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Derivative Chain Rule for $x$ as Exponent

Published on 12 Apr 2026 - 0:25

score 592 · Answer 4 · 2026-04-11 02:28:59

592

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How to represent a decimal number into a binary expression of a different radix/base

Published on 11 Apr 2026 - 2:28

score 209 · Answer 5 · 2026-04-23 10:44:26

209

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How to find the values of m & n in $2^{m} - 2^{n} = 56 ?$

Published on 23 Apr 2026 - 10:44

score 153 · Answer 6 · 2026-04-16 16:13:24

153

Views

Prove or disprove that : $x^{\frac{\sin\left(x\right)}{x}}> \sin\left(x\right)+\frac{1}{x-1}$ for $x\geq \pi$

Published on 16 Apr 2026 - 16:13

score 70 · Answer 7 · 2026-04-15 11:59:25

70

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How many positive integer $y$ such that equation $4(x-1)e^x=y(e^x+xy-2x^2-3)$

Published on 15 Apr 2026 - 11:59

score 49 · Answer 8 · 2026-04-15 19:16:10

49

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Why do the rounded solutions of $n^x=x!$ follow this $2, 3, 3$ pattern as $n$ increases?

Published on 15 Apr 2026 - 19:16

score 63 · Answer 9 · 2026-04-14 21:06:07

63

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How can I prove that $(x)^{(x+1)} > (x + 1) ^x$ for integer values of $x$ by induction?

Published on 14 Apr 2026 - 21:06

score 130 · Answer 10 · 2026-04-13 01:51:32

130

Views

On double exponents: how to evaluate/simplify $2^{a^b c}$

Published on 13 Apr 2026 - 1:51

score 59 · Answer 11 · 2026-04-16 05:33:06

59

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Prove that ($2^{(2^0)}$ + 1) * ($2^{(2^1)}$ + 1)* ... *($2^{(2^k)}$ + 1) = $2^{(2^{(k+1))}} - 1$

Published on 16 Apr 2026 - 5:33

score 363 · Answer 12 · 2026-03-26 08:00:47

363

Views

How do I calculate the first n digits and last m digits of $3^{3^{3^{3^{3}}}}$?

Published on 26 Mar 2026 - 8:00

score 242 · Answer 13 · 2026-04-12 03:19:44

242

Views

Exponents and Parentheses

Published on 12 Apr 2026 - 3:19

score 52 · Answer 14 · 2026-04-17 11:59:46

52

Views

Evaluating $\left(\frac{1}{u}\right)^{i\eta/2} u^{i\eta/2}$ for real $u<0$ and $\eta>0$, where $i$ is the imaginary unit

Published on 17 Apr 2026 - 11:59

score 94 · Answer 15 · 2026-04-16 13:03:17

94

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Suppose $a$ and $b$ are integers in the ratio $6:7$, what is the ratio of $(6a^{2} + 7b^{2} + 6a + 7b ) : (a^{2}+b^2)$?

Published on 16 Apr 2026 - 13:03

List Question

Reference for Equation

Possible result of integral $\int_{0}^{\infty}\left(x^{\frac{\sin\left(\pi x\right)}{x}}-1\right)dx=0$: Too good to be true?

Derivative Chain Rule for $x$ as Exponent

How to represent a decimal number into a binary expression of a different radix/base

How to find the values of m & n in $2^{m} - 2^{n} = 56 ?$

Prove or disprove that : $x^{\frac{\sin\left(x\right)}{x}}> \sin\left(x\right)+\frac{1}{x-1}$ for $x\geq \pi$

How many positive integer $y$ such that equation $4(x-1)e^x=y(e^x+xy-2x^2-3)$

Why do the rounded solutions of $n^x=x!$ follow this $2, 3, 3$ pattern as $n$ increases?

How can I prove that $(x)^{(x+1)} > (x + 1) ^x$ for integer values of $x$ by induction?

On double exponents: how to evaluate/simplify $2^{a^b c}$

Prove that ($2^{(2^0)}$ + 1) * ($2^{(2^1)}$ + 1)* ... *($2^{(2^k)}$ + 1) = $2^{(2^{(k+1))}} - 1$

How do I calculate the first n digits and last m digits of $3^{3^{3^{3^{3}}}}$?

Exponents and Parentheses

Evaluating $\left(\frac{1}{u}\right)^{i\eta/2} u^{i\eta/2}$ for real $u<0$ and $\eta>0$, where $i$ is the imaginary unit

Suppose $a$ and $b$ are integers in the ratio $6:7$, what is the ratio of $(6a^{2} + 7b^{2} + 6a + 7b ) : (a^{2}+b^2)$?

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