Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If I = 
dx, then I equals:
A
sin –1 (sin x + cos x) + C
B
cos –1 (sin x –cos x) + C
C
sin –1 (sin x –cos x) + C
D
cos –1 (sin x + cos x) + C
Text Solution
Verified by ExpertsThe correct answer is:
C
I = 
dx
Put sin x – cos x = t, so that (sin x + cos x) dx = dt and
1 – 2 sin
x cos x = t 2 ∴ I = 
= 
sin
–1 (t) + C
= 
sin –1 (sin x – cos x) + C
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