![complex numbers - Evaluate $\ln[(1+i)^7], \mathrm{Re}[\cos(1+i)]$ and $|e^{3+i\pi/4}|$ - Mathematics Stack Exchange](https://i.stack.imgur.com/njfOV.jpg "complex numbers - Evaluate $\ln[(1+i)^7], \mathrm{Re}[\cos(1+i)]$ and $|e^{3+i\pi/4}|$ - Mathematics Stack Exchange")
complex numbers - Evaluate $\ln[(1+i)^7], \mathrm{Re}[\cos(1+i)]$ and $|e^{3+i\pi/4}|$ - Mathematics Stack Exchange
&line2=\mathrm{Solution:\:}\ln(%CF%80)-\ln(2) "ln(pi/2)")
ln(pi/2)
-\ln(%CF%80)&line2=\mathrm{Solution:\:}\ln(2) "ln(2pi)-ln(pi)")
ln(2pi)-ln(pi)
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)&line2=\mathrm{Solution:\:}0 "ln(sin(pi/2))")
ln(sin(pi/2))
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)^{2}dx&line2=\mathrm{Solution:\:}%CF%80(e-2) "What is the integral from 1 to e of pi(ln(x))^2 ?")
What is the integral from 1 to e of pi(ln(x))^2 ?
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