84,86,75,61,87,77
Sort
61,75,77,84,86,87
Evaluate
84,86,75,61,87,77
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84
To sort the list, start from a single element 84.
84,86
Insert 86 to the appropriate location in the new list.
75,84,86
Insert 75 to the appropriate location in the new list.
61,75,84,86
Insert 61 to the appropriate location in the new list.
61,75,84,86,87
Insert 87 to the appropriate location in the new list.
61,75,77,84,86,87
Insert 77 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}