Evaluate
226
Real Part
226
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-15\left(-15\right)-15\left(-i\right)-15i-i^{2}
Multiply complex numbers -15+i and -15-i like you multiply binomials.
-15\left(-15\right)-15\left(-i\right)-15i-\left(-1\right)
By definition, i^{2} is -1.
225+15i-15i+1
Do the multiplications.
225+1+\left(15-15\right)i
Combine the real and imaginary parts.
226
Do the additions.
Re(-15\left(-15\right)-15\left(-i\right)-15i-i^{2})
Multiply complex numbers -15+i and -15-i like you multiply binomials.
Re(-15\left(-15\right)-15\left(-i\right)-15i-\left(-1\right))
By definition, i^{2} is -1.
Re(225+15i-15i+1)
Do the multiplications in -15\left(-15\right)-15\left(-i\right)-15i-\left(-1\right).
Re(225+1+\left(15-15\right)i)
Combine the real and imaginary parts in 225+15i-15i+1.
Re(226)
Do the additions in 225+1+\left(15-15\right)i.
226
The real part of 226 is 226.
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Integration
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Limits
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