# Integration of (y*tan xy)

Anish Buchanan 2021-02-11 Answered
Integration of $\left(y\cdot \mathrm{tan}xy\right)$
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## Expert Answer

estenutC
Answered 2021-02-12 Author has 81 answers

$du/dx=y$
$dx=du/y$

$\int \mathrm{tan}udu$
$=\mathrm{ln}\mathrm{sec}u+c$

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Answered 2021-07-07
Integration of y*tanxy dx Let u= xy du/dx=y dx=du/y Integration y* tanu du/y Integration tanu du Log secu +C , where C is a integral constant. =log secxy Therefore integration of x*Tanxy dy= log secxy + C
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