CBSE Class 12 Math 2023 All Sets Solved Paper

Question : 9 of 20

Marks: +1, -0

Anti-derivative of

\;{tan x - 1}/{tan x + 1}

with respect to x is:

Solution:

I =

∫\;{\tan x - 1}/{\tan x + 1}dx

= -∫\;{1-\tan x}/{1+\tan x}dx

= -∫ \tan(\;{π}/{4}-x)dx

= \ln | \sec (\;{π}/{4}-x) | +c

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