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## Main Question or Discussion Point

Hello All! I am trying to solve the simple pendulum without using a small angle approximation. But I end up with this integral:

$$\int_{\frac{\pi}{4}}^{\theta}\frac{d\theta}{\sqrt{cos(\theta)-\frac{\sqrt{2}}{2}}}$$

Is this possible to evaluate? If so, could I get a hint about what methods to use? If not, is it still possible to get an expression for the period of a simple pendulum without using small angle?

Cheers!

$$\int_{\frac{\pi}{4}}^{\theta}\frac{d\theta}{\sqrt{cos(\theta)-\frac{\sqrt{2}}{2}}}$$

Is this possible to evaluate? If so, could I get a hint about what methods to use? If not, is it still possible to get an expression for the period of a simple pendulum without using small angle?

Cheers!