Published by:
CGP EDU Academic Team
Published on: August 13, 2026
( 
+ 
) dx. equals:
A
. sin –1 (sin x – cos x)
B
sin –1 (sin x + cos x)
C
2 sin –1 (sin x – cos x)
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
= 
x
= 
dx
= 
dx
put t = sin x – cos x
dt = (cos x + sin x) dx
also t 2 = 1 –sin 2x
∴ I = 
= 
sin –1 t
= 
sin –1 (sin x –cos x) + c
= 
x
= 
dx
= 
dx
put t = sin x – cos x
dt = (cos x + sin x) dx
also t 2 = 1 –sin 2x
∴ I = 
= 
sin –1 t
= 
sin –1 (sin x –cos x) + c
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