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Real Part
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\frac{i}{-1}+\frac{4}{i^{3}}
Multiply both numerator and denominator of \frac{1}{i} by imaginary unit i.
-i+\frac{4}{i^{3}}
Divide i by -1 to get -i.
-i+\frac{4}{-i}
Calculate i to the power of 3 and get -i.
-i+\frac{4i}{1}
Multiply both numerator and denominator of \frac{4}{-i} by imaginary unit i.
-i+4i
Divide 4i by 1 to get 4i.
3i
Add -i and 4i to get 3i.
Re(\frac{i}{-1}+\frac{4}{i^{3}})
Multiply both numerator and denominator of \frac{1}{i} by imaginary unit i.
Re(-i+\frac{4}{i^{3}})
Divide i by -1 to get -i.
Re(-i+\frac{4}{-i})
Calculate i to the power of 3 and get -i.
Re(-i+\frac{4i}{1})
Multiply both numerator and denominator of \frac{4}{-i} by imaginary unit i.
Re(-i+4i)
Divide 4i by 1 to get 4i.
Re(3i)
Add -i and 4i to get 3i.
0
The real part of 3i is 0.