Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If I n = 
x dx, then I 0 + I 1 + 2(I 2 + I 3
+ …. + I 8 ) + I 9 + I 10 =
A
– 
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
I n = 
x dx = 
x cot 2 x dx
= 
x(cosec 2 x – 1)dx = 
x cosec 2 x dx – I n–2
Thus, I n + I n – 2 = – 
...(i)
I 0 + I 1 + 2(I 2 + …… + I 8 ) + I 9 + I 10
= (I 0 + I 2 ) + (I 3 + I 1 ) + (I 4 + I 2 ) + (I 5 + I 3 ) + (I 6 + I 4 ) +(I 7 + I 5 ) + (I 8 + I 6 ) + (I 9 + I 7 ) + (I 10 + I 8 ) = – 
[using (i)]
= – 
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