For some reason I cannot see why :(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int \sqrt{1+tan^2 \left( \frac{\pi }{4H}} z \right)} dz = \frac{4H}{\pi} sinh^{-1} \left( tan \left[ \frac{\pi z}{4H} \right] \right) [/tex]

I do not understand so because can't the trig identity [tex] 1+tan^2 \theta = sec^2 \theta [/tex] be used and then the integrand simplifies to:

[tex] \int sec \left( \frac{\pi z}{4H}} \right) dz [/tex]

why can't it be done? This leads to a whole different answer obviously...

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# Simple integral with Trig

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