Definite integration involving multiple angle of sine.

  • #1
pi
∫sin^2(nx)/sin^2(x) dx
0

I tried using mathematical induction and did arrive at the correct result but was wondering if a better method could be used to solve it?
 

Answers and Replies

  • #2
611
24
pi
∫sin^2(nx)/sin^2(x) dx
0

I tried using mathematical induction and did arrive at the correct result but was wondering if a better method could be used to solve it?
How do you use induction here? You haven't even given us a result!
 
  • #3
putting n=1,n=2
we get pi, and pi as the result
so i generalised it for 'n'.
thats the reason i asked for the solution because this is definitely an improper method.
 
  • #4
611
24
putting n=1,n=2
we get pi, and pi as the result
so i generalised it for 'n'.
thats the reason i asked for the solution because this is definitely an improper method.
Are you confused about what induction means?
 

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