Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If Ι n = 
and Ι 0 + Ι 1 + 2 ( Ι 2 + .....+ Ι 8 ) + Ι 9 + Ι 10 = A 
+ C, where u = cotx and C is an arbitrary constant, then
Text Solution
Verified by ExpertsThe correct answer is:
B
Ι n = 
= 
dx = 
– Ι n – 2 + C 1
⇒ Ι n + Ι n – 2 = 
+ C 1
Now, Ι 0 + Ι 1 + 2 ( Ι 2 + .....+ Ι 8 ) + Ι 9 + Ι 10
= ( Ι 2 + Ι 0 ) + ( Ι 3 + Ι 1 ) + ( Ι 4 + Ι 2 ) + ( Ι 5 + Ι 3 ) + ( Ι 6 + Ι 4 ) + ( Ι 7 + Ι 5 ) + ( Ι 8 + Ι 6 ) + ( Ι 9 + Ι 7 ) + ( Ι 10 + Ι 8 )
= – 
+ C
∴ A = – 1.
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