Evaluate
j^{2}+2j+\frac{3}{2}
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j^{2}+2j+\frac{3}{2}
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j^{2}+j+j+\frac{1}{2}+1
Use the distributive property to multiply j by j+1.
j^{2}+2j+\frac{1}{2}+1
Combine j and j to get 2j.
j^{2}+2j+\frac{1}{2}+\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
j^{2}+2j+\frac{1+2}{2}
Since \frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.
j^{2}+2j+\frac{3}{2}
Add 1 and 2 to get 3.
j^{2}+j+j+\frac{1}{2}+1
Use the distributive property to multiply j by j+1.
j^{2}+2j+\frac{1}{2}+1
Combine j and j to get 2j.
j^{2}+2j+\frac{1}{2}+\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
j^{2}+2j+\frac{1+2}{2}
Since \frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.
j^{2}+2j+\frac{3}{2}
Add 1 and 2 to get 3.
Examples
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}