25,15,18,10,5,8,38,30,40
Sort
5,8,10,15,18,25,30,38,40
Evaluate
25,15,18,10,5,8,38,30,40
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25
To sort the list, start from a single element 25.
15,25
Insert 15 to the appropriate location in the new list.
15,18,25
Insert 18 to the appropriate location in the new list.
10,15,18,25
Insert 10 to the appropriate location in the new list.
5,10,15,18,25
Insert 5 to the appropriate location in the new list.
5,8,10,15,18,25
Insert 8 to the appropriate location in the new list.
5,8,10,15,18,25,38
Insert 38 to the appropriate location in the new list.
5,8,10,15,18,25,30,38
Insert 30 to the appropriate location in the new list.
5,8,10,15,18,25,30,38,40
Insert 40 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}