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0
Real Part
0
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i-1+i^{3}+i^{4}
Calculate i to the power of 2 and get -1.
i-1-i+i^{4}
Calculate i to the power of 3 and get -i.
i^{4}-1
Do the additions.
1-1
Calculate i to the power of 4 and get 1.
0
Subtract 1 from 1 to get 0.
Re(i-1+i^{3}+i^{4})
Calculate i to the power of 2 and get -1.
Re(i-1-i+i^{4})
Calculate i to the power of 3 and get -i.
Re(i^{4}-1)
Do the additions in i-1-i.
Re(1-1)
Calculate i to the power of 4 and get 1.
Re(0)
Subtract 1 from 1 to get 0.
0
The real part of 0 is 0.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}