Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Prove that dx =
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. Let I = 
dx.Then,
I = 
dx
⇒ I = 
, where t = tan x
⇒ I = 
=
= 
Thus, 
= 
... (i)
Differentiating both sides with respect to a, we get
dx = 
⇒ 
dx = 
... (ii).
Similarly, by differentiating (i) with respect to b, we get
dx = 
... (iii)
Adding (ii) and (iii), we obtain
dx = 
+ 
= 
(a 2 + b 2 )
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