1. Originally Posted by free_to_fly
Testing
mmm I get an error, back to the books
$\displaystyle \ \int_0^a {\sqrt {(1 + t} ^2 )dt} \$
try \int_0^a \sqrt{1+t^2}~dt

or
\int_0^a \sqrt{(1+t)^2}~dt

depending on which you were shooting for.

Consider \sqrt{ } to be a function, so anything inside must be within those brackets. The tilde creates a space. the caret will raise the object to it's left to the power of the first digit to it's right, so a^bc = $\displaystyle a^bc$ if you want a^(bc) you need to write it as a^{bc} = $\displaystyle a^{bc}$

Generally if you are unsure, place {} around your terms, when you get more comfortable with it, you can start using shortcuts like \frac 12 = \frac{1}{2}. So you could write 5/(3x+2) as \frac{5}{3x+2} or as \frac 5{3x+2} and you could write (3x+2)/5 as \frac{3x+2}{5} or \frac {3x+2}5

2. Hello, free_to_fly!

You want the radical to contain $\displaystyle 1+t^2$ ?

A square root is written: .\sqrt{ . }
. . . . . . . . . . . . . . . . . . . . . . .$\displaystyle {\color{blue}\uparrow}$
Now insert the radicand between the braces: .\sqrt{1 + t^2}

. . . . $\displaystyle \int_0^a \sqrt {1 + t^2}\,dt$

3. $\displaystyle s=\sqrt{a^2 + b^2 + c^2}$

$\displaystyle f(t)=A\cos(\omega t+\alpha)$

$\displaystyle \frac{d}{dt} f(t)= -A\omega\sin(\omega t+\alpha)$

$\displaystyle \int^a _{b} f(t) dt =$

4. I need this in another forum...

$\displaystyle e^{i \pi} = -1$

5. $\displaystyle a^2+b^2=c^2$

$\displaystyle sin=\frac{opposite}{hypotenuse}$

6. ## Name confusion

Well, I've managed to come up with a puzzle.

Why doesn't $$\text{Name}$$ give "Name" as an output?

-Dan

7. It has been answered in another forum

8. $\displaystyle \text{name}$

Funny thing ~

$\displaystyle \sim$

9. test

$\displaystyle {\frac {{e^{xa+b \left( t-x \right) }}}{a-b}}$

10. test
$\displaystyle x^2 / 4!$

11. Originally Posted by zepher
test
$\displaystyle x^2 / 4!$
how about $\displaystyle \frac {x^2}{4!}$?

12. $\displaystyle \psi$

$\displaystyle \chi$

$\displaystyle \phi$

$\displaystyle \Phi$

$\displaystyle \Chi$

$\displaystyle \Psi$

13. Originally Posted by Moo
$\displaystyle \psi$

$\displaystyle \chi$

$\displaystyle \phi$

$\displaystyle \Phi$

$\displaystyle \Chi$

$\displaystyle \Psi$

14. I have a site with the characters, I just wanted to see what it looks like here

15. ## Colours

$\displaystyle {\color{blue} Blue}$
$\displaystyle {\color{cyan} Cyan}$
$\displaystyle {\color [cmyk] {1,1,0,0.5} Dark Blue}$
$\displaystyle {\color{white} White}$
$\displaystyle {\color{green} Green}$
$\displaystyle {\color [cmyk] {0.75,0,0.75,0.45} Dark green}$
$\displaystyle {\color{magenta} Magenta}$
$\displaystyle {\color{red} Red}$
$\displaystyle {\color[gray]{0.5} Grey}$
$\displaystyle {\color{yellow} Yellow}$
$\displaystyle {\color[rgb] {.5,0,1} Purple}$
$\displaystyle {\color [cmyk] {0,.35,1,0} Orange}$
$\displaystyle {\color [cmyk] {0.4,.75,0.8,0} Brown}$

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