72,82,65,67,80,81,67
Sort
65,67,67,72,80,81,82
Evaluate
72,82,65,67,80,81,67
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72
To sort the list, start from a single element 72.
72,82
Insert 82 to the appropriate location in the new list.
65,72,82
Insert 65 to the appropriate location in the new list.
65,67,72,82
Insert 67 to the appropriate location in the new list.
65,67,72,80,82
Insert 80 to the appropriate location in the new list.
65,67,72,80,81,82
Insert 81 to the appropriate location in the new list.
65,67,67,72,80,81,82
Insert 67 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}