Please help me in integrating this function its been many hours and I don't know how to proceed nothing is helping substitution or series expansion.
This Function:
$$\frac{1}{x+2\tan(x)}$$
2026-03-29 05:34:33.1774762473
Function Integration
52 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
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There are 1 best solutions below
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As said in comments, no hope for a closed form.
What you can do is a series expansion. Using the one for $\tan(x)$ and then long division, you could get something like $$\frac{1}{x+2 \tan (x)}=\frac{1}{3 x}-\frac{2 x}{27}-\frac{16 x^3}{1215}-\frac{38 x^5}{15309}+O\left(x^7\right)$$ Integrate termwise to get ... something.