6,64,25,125,36,216 , \quad 343,64
Sort
6,25,36,64,64,125,216,343
Evaluate
6,64,25,125,36,216,343,64
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6
To sort the list, start from a single element 6.
6,64
Insert 64 to the appropriate location in the new list.
6,25,64
Insert 25 to the appropriate location in the new list.
6,25,64,125
Insert 125 to the appropriate location in the new list.
6,25,36,64,125
Insert 36 to the appropriate location in the new list.
6,25,36,64,125,216
Insert 216 to the appropriate location in the new list.
6,25,36,64,125,216,343
Insert 343 to the appropriate location in the new list.
6,25,36,64,64,125,216,343
Insert 64 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}