JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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\int \frac{\tan x}{1+\tan x+\tan ^2 x} d x=x-\frac{K}{\sqrt{A}} \tan ^{-1}\left(\frac{K \tan x+1}{\sqrt{A}}\right)+C,

(

C

is a constant of integration), then the ordered pair

(K, A)

is equal to

View answer and explanation

Correct option: A

(2,3)

Option A ((2,3)) is correct because after solving the integral and comparing with the given form, we find K=2 and A=3.

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