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Question Number 126369 by I want to learn more last updated on 19/Dec/20

∫ ((tan(x))/x)  dx

$$\int\:\frac{\mathrm{tan}\left(\mathrm{x}\right)}{\mathrm{x}}\:\:\mathrm{dx} \\ $$

Answered by Olaf last updated on 20/Dec/20

I believe the only way to handle this  integral is to use the Maclaurin power  serie for tanx.

$$\mathrm{I}\:\mathrm{believe}\:\mathrm{the}\:\mathrm{only}\:\mathrm{way}\:\mathrm{to}\:\mathrm{handle}\:\mathrm{this} \\ $$$$\mathrm{integral}\:\mathrm{is}\:\mathrm{to}\:\mathrm{use}\:\mathrm{the}\:\mathrm{Maclaurin}\:\mathrm{power} \\ $$$$\mathrm{serie}\:\mathrm{for}\:\mathrm{tan}{x}. \\ $$

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