Evaluate
i
Real Part
0
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\frac{5+12i}{12-5i}
Calculate 3+2i to the power of 2 and get 5+12i.
\frac{\left(5+12i\right)\left(12+5i\right)}{\left(12-5i\right)\left(12+5i\right)}
Multiply both numerator and denominator by the complex conjugate of the denominator, 12+5i.
\frac{169i}{169}
Do the multiplications in \frac{\left(5+12i\right)\left(12+5i\right)}{\left(12-5i\right)\left(12+5i\right)}.
i
Divide 169i by 169 to get i.
Re(\frac{5+12i}{12-5i})
Calculate 3+2i to the power of 2 and get 5+12i.
Re(\frac{\left(5+12i\right)\left(12+5i\right)}{\left(12-5i\right)\left(12+5i\right)})
Multiply both numerator and denominator of \frac{5+12i}{12-5i} by the complex conjugate of the denominator, 12+5i.
Re(\frac{169i}{169})
Do the multiplications in \frac{\left(5+12i\right)\left(12+5i\right)}{\left(12-5i\right)\left(12+5i\right)}.
Re(i)
Divide 169i by 169 to get i.
0
The real part of i is 0.
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Simultaneous equation
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Integration
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Limits
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