Evaluate
11+2i
Real Part
11
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2\times 4+2\times \left(3i\right)-i\times 4-3i^{2}
Multiply complex numbers 2-i and 4+3i like you multiply binomials.
2\times 4+2\times \left(3i\right)-i\times 4-3\left(-1\right)
By definition, i^{2} is -1.
8+6i-4i+3
Do the multiplications.
8+3+\left(6-4\right)i
Combine the real and imaginary parts.
11+2i
Do the additions.
Re(2\times 4+2\times \left(3i\right)-i\times 4-3i^{2})
Multiply complex numbers 2-i and 4+3i like you multiply binomials.
Re(2\times 4+2\times \left(3i\right)-i\times 4-3\left(-1\right))
By definition, i^{2} is -1.
Re(8+6i-4i+3)
Do the multiplications in 2\times 4+2\times \left(3i\right)-i\times 4-3\left(-1\right).
Re(8+3+\left(6-4\right)i)
Combine the real and imaginary parts in 8+6i-4i+3.
Re(11+2i)
Do the additions in 8+3+\left(6-4\right)i.
11
The real part of 11+2i is 11.
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Simultaneous equation
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Integration
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Limits
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