Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Find the value of 
.
Text Solution
Verified by ExpertsThe correct answer is:
1
Sol. (1 + x) n = n C 0 + n C 1 x + n C 2 x 2 + …..+ n C n x n …(1)
Integrating both sides, we get
= n C 0 x + n C 1 
+ n C 2 
+……+ n C n 
+ k
Where k is constant of integration.
On putting x = 0, we get k = 
∴ 
– 
= n C 0 x + n C 1 
+ n C 2 
+ ……+
n C n 
⇒ 
= 
Replace x by cos 2x, we get
= 
= 
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