Evaluate
2+29i
Real Part
2
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2\times 7+2\times \left(4i\right)+3i\times 7+3\times 4i^{2}
Multiply complex numbers 2+3i and 7+4i like you multiply binomials.
2\times 7+2\times \left(4i\right)+3i\times 7+3\times 4\left(-1\right)
By definition, i^{2} is -1.
14+8i+21i-12
Do the multiplications.
14-12+\left(8+21\right)i
Combine the real and imaginary parts.
2+29i
Do the additions.
Re(2\times 7+2\times \left(4i\right)+3i\times 7+3\times 4i^{2})
Multiply complex numbers 2+3i and 7+4i like you multiply binomials.
Re(2\times 7+2\times \left(4i\right)+3i\times 7+3\times 4\left(-1\right))
By definition, i^{2} is -1.
Re(14+8i+21i-12)
Do the multiplications in 2\times 7+2\times \left(4i\right)+3i\times 7+3\times 4\left(-1\right).
Re(14-12+\left(8+21\right)i)
Combine the real and imaginary parts in 14+8i+21i-12.
Re(2+29i)
Do the additions in 14-12+\left(8+21\right)i.
2
The real part of 2+29i is 2.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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