Evaluate
60
Factor
2^{2}\times 3\times 5
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4\lceil 9-6\left(-1\right)\rceil
Subtract 3 from 2 to get -1.
4\lceil 9-\left(-6\right)\rceil
Multiply 6 and -1 to get -6.
4\lceil 9+6\rceil
The opposite of -6 is 6.
4\lceil 15\rceil
Add 9 and 6 to get 15.
4\times 15
The ceiling of a real number a is the smallest integer number greater than or equal to a. The ceiling of 15 is 15.
60
Multiply 4 and 15 to get 60.
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}