Evaluate
\frac{40\pi }{3}\approx 41.887902048
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\frac{2}{3}\pi \lfloor 20\rfloor
Reduce the fraction \frac{120}{180} to lowest terms by extracting and canceling out 60.
\frac{2}{3}\pi \times 20
The floor of a real number a is the largest integer number less than or equal to a. The floor of 20 is 20.
\frac{2\times 20}{3}\pi
Express \frac{2}{3}\times 20 as a single fraction.
\frac{40}{3}\pi
Multiply 2 and 20 to get 40.
Examples
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Linear equation
y = 3x + 4
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Matrix
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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
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