Carrotsticks
Retired
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- Jun 29, 2009
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A student recently asked me a very interesting question:
Evaluate the integral:
![](https://latex.codecogs.com/png.latex?\bg_white \int_{0}^{\frac{\pi}{2}} \frac{dx}{1+\tan^n x})
I think the end result is really cool. I absolutely love problems like these.
The method I used is a bit unconventional (don't know how often it is used in the HSC), but perhaps some of you out there have alternative methods!
Evaluate the integral:
I think the end result is really cool. I absolutely love problems like these.
The method I used is a bit unconventional (don't know how often it is used in the HSC), but perhaps some of you out there have alternative methods!