Evaluate
8H+\frac{21}{2}
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8H+\frac{21}{2}
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\frac{2+1}{2}\times 7+8H\times 1
Multiply 1 and 2 to get 2.
\frac{3}{2}\times 7+8H\times 1
Add 2 and 1 to get 3.
\frac{3\times 7}{2}+8H\times 1
Express \frac{3}{2}\times 7 as a single fraction.
\frac{21}{2}+8H\times 1
Multiply 3 and 7 to get 21.
\frac{21}{2}+8H
Multiply 8 and 1 to get 8.
\frac{2+1}{2}\times 7+8H\times 1
Multiply 1 and 2 to get 2.
\frac{3}{2}\times 7+8H\times 1
Add 2 and 1 to get 3.
\frac{3\times 7}{2}+8H\times 1
Express \frac{3}{2}\times 7 as a single fraction.
\frac{21}{2}+8H\times 1
Multiply 3 and 7 to get 21.
\frac{21}{2}+8H
Multiply 8 and 1 to get 8.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}