Finding the indefinite integral of (x / cos LNX) DX

Finding the indefinite integral of (x / cos LNX) DX

Integral (x / cos LNX) DX
Let t = e ^ t original formula = integral e ^ 2T * sec t DT = 1 / 2 integral sec t d (e ^ 2t)
(partial integral) = 1 / 2 [e ^ 2T × sect integral (e ^ 2T * sect * tant)]
=1 / 2 [e ^ 2T × sect dtant] 1 / 2 = 1 / 2 [e ^ 2T × sect dtant]
=1 / 2 [e ^ 2T × sect - (e ^ 2T cost Tan integral Sint * D (e ^ 2t)]
Integral integral Sint * D (e ^ 2t) this integral method is probably used twice
We can do integral Sint * D (e ^ 2t) = xxxxx = A-B integral Sint * D (e ^ 2t) and combine the same terms below to get Sint * D (e ^ 2t) = XXXXX
Add to the front to remove the original formula = 1 / 2 [e ^ 2T × sect - (e ^ 2T cost tant-xxxxx)] + C
Replace the previous transformation t = LNX with T, and it's done