Evaluate
2+2i
Real Part
2
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4\left(\frac{1}{2}+\frac{1}{2}i\right)
Calculate 1-i to the power of -1 and get \frac{1}{2}+\frac{1}{2}i.
2+2i
Multiply 4 and \frac{1}{2}+\frac{1}{2}i to get 2+2i.
Re(4\left(\frac{1}{2}+\frac{1}{2}i\right))
Calculate 1-i to the power of -1 and get \frac{1}{2}+\frac{1}{2}i.
Re(2+2i)
Multiply 4 and \frac{1}{2}+\frac{1}{2}i to get 2+2i.
2
The real part of 2+2i is 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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
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