Evaluate
\frac{2018}{2019}\approx 0.999504705
Factor
\frac{2 \cdot 1009}{3 \cdot 673} = 0.9995047052996533
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\frac{4068289+2017}{2018^{2}-1}
Calculate 2017 to the power of 2 and get 4068289.
\frac{4070306}{2018^{2}-1}
Add 4068289 and 2017 to get 4070306.
\frac{4070306}{4072324-1}
Calculate 2018 to the power of 2 and get 4072324.
\frac{4070306}{4072323}
Subtract 1 from 4072324 to get 4072323.
\frac{2018}{2019}
Reduce the fraction \frac{4070306}{4072323} to lowest terms by extracting and canceling out 2017.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
Arithmetic
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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}