Integration of (y*tan xy)

Question

Integration of

(y \cdot \tan x y)

Answer 1

$\int y \tan x y d x$
$l e t u = x y$
$d u / d x = y$
$d x = d u / y$
$\int y \tan x y d x = \int (y \tan u) d u / y$
$\int \tan u d u$
$= \ln \sec u + c$
$\int y \tan x y d x = \ln \sec x y + c$

Answer 2

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

Integration of (y*tan xy)

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