experimentX
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Questions Asked

experimentX:
Let \( f(x) \) and \( g(x) \) be two increasing and continuous functions on interval \( (a, b) \). Check weather the following integral is …
 updated 3 days ago
 29 replies
 2 Medals
Mathematics

experimentX:
Integrate:
\[
\int_1^\infty \frac{1}{\sqrt{x(x^21)}}dx…
 updated 2 months ago
 10 replies
 4 Medals
Mathematics

experimentX:
Inverse Laplace transform of \( \cot^{1}(s) \)
 updated 3 months ago
 1 reply
 No Medals Yet
Mathematics

experimentX:
Integrate:
\[ \int\frac{\sin x}{\sin (xa) \sin (xb)}\,\mathrm dx \]
 updated 7 months ago
 No Medals Yet
Mathematics

experimentX:
Solve differential equation:
\[ \sin^2(x) \frac{d^2y}{dx^2} = 2 y\]
Does anyone know how to reduce this into solvable form?…
 updated 10 months ago
 1 reply
 No Medals Yet
Mathematics

experimentX:
Integrate:
\[ \int_0^{\frac \pi 2 } \sin^{2n} (x) dx \]
 updated 10 months ago
 14 replies
 3 Medals
Mathematics

experimentX:
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 10 months ago
 4 replies
 1 Medal
Mathematics

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

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

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

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

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

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

experimentX:
Q.
 updated one year ago
 72 replies
 No Medals Yet
Mathematics

experimentX:
Math.
 updated one year ago
 24 replies
 No Medals Yet
Mathematics

experimentX:
Testing:
 updated one year ago
 3 replies
 No Medals Yet
Mathematics

experimentX:
Note to all new users on this section. If you do not get any response on this section, try posting on this section. http://openstudy.com/stu…
 updated one year ago
 No Medals Yet
Mathematics

experimentX:
Q
 updated one year ago
 46 replies
 2 Medals
Mathematics

experimentX:
substitution:
…
 updated one year ago
 9 replies
 No Medals Yet
Mathematics

experimentX:
What's this supposed to mean
We shall say that an ndigit number is pandigital if it makes use of all the digits 1 to n exactly once; for e…
 updated one year ago
 29 replies
 3 Medals
Mathematics
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