Evaluate
90
Factor
2\times 3^{2}\times 5
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5+4+5+6+7+8+9+10+11+12+13
Add 2 and 3 to get 5.
9+5+6+7+8+9+10+11+12+13
Add 5 and 4 to get 9.
14+6+7+8+9+10+11+12+13
Add 9 and 5 to get 14.
20+7+8+9+10+11+12+13
Add 14 and 6 to get 20.
27+8+9+10+11+12+13
Add 20 and 7 to get 27.
35+9+10+11+12+13
Add 27 and 8 to get 35.
44+10+11+12+13
Add 35 and 9 to get 44.
54+11+12+13
Add 44 and 10 to get 54.
65+12+13
Add 54 and 11 to get 65.
77+13
Add 65 and 12 to get 77.
90
Add 77 and 13 to get 90.
Examples
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{ 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}