Evaluate
-1+3i
Real Part
-1
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-1+2i^{9}-i^{11}
Calculate i to the power of 6 and get -1.
-1+2i-i^{11}
Calculate i to the power of 9 and get i.
-1+2i-\left(-i\right)
Calculate i to the power of 11 and get -i.
-1+2i+i
The opposite of -i is i.
-1+3i
Add -1+2i and i to get -1+3i.
Re(-1+2i^{9}-i^{11})
Calculate i to the power of 6 and get -1.
Re(-1+2i-i^{11})
Calculate i to the power of 9 and get i.
Re(-1+2i-\left(-i\right))
Calculate i to the power of 11 and get -i.
Re(-1+2i+i)
The opposite of -i is i.
Re(-1+3i)
Add -1+2i and i to get -1+3i.
-1
The real part of -1+3i is -1.
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}