# Math Help - Testing LaTeX

1. Originally Posted by free_to_fly
Testing
mmm I get an error, back to the books
$
\
\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 = $a^bc$ if you want a^(bc) you need to write it as a^{bc} = $a^{bc}$

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 $1+t^2$ ?

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

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

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

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

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

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

4. I need this in another forum...

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

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

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

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. $\text{name}$

Funny thing ~

$\sim$

9. test

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

10. test
$x^2 / 4!$

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

12. $\psi$

$\chi$

$\phi$

$\Phi$

$\Chi$

$\Psi$

13. Originally Posted by Moo
$\psi$

$\chi$

$\phi$

$\Phi$

$\Chi$

$\Psi$

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

15. ## Colours

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

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