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Q.∫sec⁡2xtan⁡2x+3tan⁡x+2 dx\int \dfrac{\sec^2 x}{\tan^2 x + 3\tan x + 2} \, dx equals

a
log⁡∣tan⁡x+1∣−log⁡∣tan⁡x+2∣+C\log|\tan x + 1| - \log|\tan x + 2| + C
b
log⁡∣tan⁡x+2∣+C\log|\tan x + 2| + C
c
tan⁡x+C\tan x + C
d
log⁡∣tan⁡x+1∣+C\log|\tan x + 1| + C

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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