\left. \begin{array} { r } { 38 } \\ { 12 } \\ { 6 } \\ { 25 } \\ { 19 } \end{array} \right.
Sort
6,12,19,25,38
Evaluate
38,\ 12,\ 6,\ 25,\ 19
Quiz
List
\left. \begin{array} { r } { 38 } \\ { 12 } \\ { 6 } \\ { 25 } \\ { 19 } \end{array} \right.
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38
To sort the list, start from a single element 38.
12,38
Insert 12 to the appropriate location in the new list.
6,12,38
Insert 6 to the appropriate location in the new list.
6,12,25,38
Insert 25 to the appropriate location in the new list.
6,12,19,25,38
Insert 19 to the appropriate location in the new list.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}