Indefinite IntegrationHard
Question
The value of
dx is equal to
Options
A.2 ln
+ C
B.ln
+ C
C.-2 ln
+ C
D.none of these
Solution
I =
dx = 
put √2 cos
= t ⇒ sin
dx = - √2 dt
⇒ I = - 2
= - 2ln
- 2ln
+ C1
= - 2 ×
ln 2 - 2 ln
+ C1
= - 2 ln
+ C
⇒ I = - 2
= - 2ln
- 2ln
= - 2 ×
= - 2 ln
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