What's an easy way to calculate something like $\int \sqrt{1+\cos x} \text{ d}x$?
2026-04-24 03:47:50.1777002470
Elementary integral for square roots of trig functions?
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Hint $1+\cos(x)=2\cos^2(x/2)$ so it becomes $$\sqrt{2}\int |\cos(x/2)|$$ which can be integrated in a better way.