Evaluate
i
Real Part
0
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\frac{i-1+i^{3}+i^{4}+i^{5}}{1}
Calculate i to the power of 2 and get -1.
\frac{i-1-i+i^{4}+i^{5}}{1}
Calculate i to the power of 3 and get -i.
\frac{i^{4}+i^{5}-1}{1}
Do the additions in i-1-i.
i^{4}+i^{5}-1
Anything divided by one gives itself.
1+i^{5}-1
Calculate i to the power of 4 and get 1.
1+i-1
Calculate i to the power of 5 and get i.
i
Do the additions.
Re(\frac{i-1+i^{3}+i^{4}+i^{5}}{1})
Calculate i to the power of 2 and get -1.
Re(\frac{i-1-i+i^{4}+i^{5}}{1})
Calculate i to the power of 3 and get -i.
Re(\frac{i^{4}+i^{5}-1}{1})
Do the additions in i-1-i.
Re(i^{4}+i^{5}-1)
Anything divided by one gives itself.
Re(1+i^{5}-1)
Calculate i to the power of 4 and get 1.
Re(1+i-1)
Calculate i to the power of 5 and get i.
Re(i)
Do the additions in 1+i-1.
0
The real part of i 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}