experimentX
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Questions Asked

experimentX:
Group Title
Secondary Level & High School Level Maths ebook.
does anyone know (possibly free) ebook on High School Level and Secondary Level that conta…
 updated 2 months ago
 5 replies
 1 Medal
Mathematics

experimentX:
Group Title
Hello @seoweb79 ... here goes your question.
 updated 2 months ago
 3 replies
 1 Medal
Mathematics

experimentX:
Group Title
Integrate:
\[ \int_0^{\pi/2} \frac{x}{\sin x}\mathrm{d}x\]
 updated 4 months ago
 18 replies
 3 Medals
Mathematics

experimentX:
Group Title
Fundamental Theorem of Arithmetic::
```
Every positive integer can be
…
 updated 4 months ago
 36 replies
 6 Medals
Mathematics

experimentX:
Group Title
Let \( f(x) \) and \( g(x) \) be two increasing and continuous functions on interval \( (a, b) \). Check weather the following integral is …
 updated 6 months ago
 29 replies
 2 Medals
Mathematics

experimentX:
Group Title
Integrate:
\[
\int_1^\infty \frac{1}{\sqrt{x(x^21)}}dx…
 updated 8 months ago
 10 replies
 4 Medals
Mathematics

experimentX:
Group Title
Inverse Laplace transform of \( \cot^{1}(s) \)
 updated 9 months ago
 1 reply
 No Medals Yet
Mathematics

experimentX:
Group Title
Integrate:
\[ \int\frac{\sin x}{\sin (xa) \sin (xb)}\,\mathrm dx \]
 updated one year ago
 No Medals Yet
Mathematics

experimentX:
Group Title
Solve differential equation:
\[ \sin^2(x) \frac{d^2y}{dx^2} = 2 y\]
Does anyone know how to reduce this into solvable form?…
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

experimentX:
Group Title
Integrate:
\[ \int_0^{\frac \pi 2 } \sin^{2n} (x) dx \]
 updated one year ago
 14 replies
 3 Medals
Mathematics

experimentX:
Group Title
Integrate:
\[ \int_0^{\infty} \frac{\sin (ax)}{e^{2\pi x}  1}dx\]
Does anyone know how to integrate it by the method of contour?
 updated one year ago
 4 replies
 1 Medal
Mathematics

experimentX:
Group Title
Happy \( \huge \pi \) day!!
prove \( \pi \) is irrational:
 updated one year ago
 38 replies
 No Medals Yet
Mathematics

experimentX:
Group Title
Q:
 updated one year ago
 13 replies
 1 Medal
Mathematics

experimentX:
Group Title
Fun question:
Two bicyclists start twenty miles apart and head toward each other, each going at a steady rate of 10 mph. At the same time a…
 updated one year ago
 13 replies
 3 Medals
Mathematics

experimentX:
Group Title
For three positive real numbers \(a, b\) and \( c\) prove that
\[ \frac{a^3+b^3+c^3}{3} \ge \frac{a+b+c}{3} \times \frac{a^2+b^2+c^2}{3} \…
 updated one year ago
 10 replies
 No Medals Yet
Mathematics

experimentX:
Group Title
Evaluate (copied):
\[ \int\cot^{1} (x^2+x+1)dx \]
 updated one year ago
 53 replies
 No Medals Yet
Mathematics

experimentX:
Group Title
Evaluate (copied):
\[ \int\cot^{1} (x^2+x+1)dx \]
 updated one year ago
 2 replies
 No Medals Yet
Mathematics

experimentX:
Group Title
Evaluate: \[ \lim_{n\to\infty} \left ( \sin \left( {\frac{n}{n^2+1^2}} \right ) +\sin \left ( {\frac{n}{n^2+2^2}} \right ) +\cdots+\sin \l…
 updated one year ago
 10 replies
 2 Medals
Mathematics

experimentX:
Group Title
Let, \( f \) and \( g \) be two function in vector space of functions. The scalar product is defined as http://en.wikipedia.org/wiki/Dot_pro…
 updated one year ago
 No Medals Yet
Mathematics

experimentX:
Group Title
Find the total number of rectangles in chess board.
 updated one year ago
 7 replies
 1 Medal
Mathematics

experimentX:
Group Title
For \( a, b, c > 0, abc =1\) show that
\[ \frac{a}{b}+\frac{b}{c}+\frac{c}{a}\ge a+b+c \]
No Lagrange multiplier allowed.
 updated one year ago
 8 replies
 1 Medal
Mathematics

experimentX:
Group Title
If \( abc = 1 \) where \( a, b, c > 0 \) show that
\[ a^2 + b^2+c^2 \ge a+b+c \]
No Lagrange multipliers allowed.
 updated one year ago
 14 replies
 3 Medals
Mathematics

experimentX:
Group Title
How to show that the the sequence \( \{ a_n \} \) is a monotonically decreasing sequence.
\[ a_n = { { \left (\frac { \sqrt [ n ]{ a } +\s…
 updated one year ago
 36 replies
 2 Medals
Mathematics

experimentX:
Group Title
Q1: An open interval in \( \mathbb R^1 \) is not open in \( \mathbb R^2 \), then what is it?
Q2: In Cantor intersection theorem, if each Q i…
 updated one year ago
 18 replies
 1 Medal
Mathematics

experimentX:
Group Title
BalzanoWeirerstrass Theorem: Does any one know why there is \( 2^{m2} \) at the \( \mathbb{R^n} \) while there is \( 2^{m1} \) on \( \mat…
 updated one year ago
 22 replies
 4 Medals
Mathematics

experimentX:
Group Title
use \( z^n = 1 \) for complex number \( z \) to derive
\[ \prod_{k=1}^{n1} \sin \left( k \pi \over n\right) = {n \over 2^{n1}} \]
 updated one year ago
 No Medals Yet
Mathematics

experimentX:
Group Title
Integrate:
\[ \int_0^\infty {\ln x \over 1+x^2}dx\]
 updated one year ago
 6 replies
 1 Medal
Mathematics

experimentX:
Group Title
Q.
 updated 2 years ago
 72 replies
 No Medals Yet
Mathematics

experimentX:
Group Title
Math.
 updated 2 years ago
 24 replies
 No Medals Yet
Mathematics

experimentX:
Group Title
Testing:
 updated 2 years ago
 3 replies
 No Medals Yet
Mathematics
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