Q10 of 26 Page 1

Evaluate:

Let,


I =


⇒ I =


⇒ I =


Clearly for cos2ax and sin2bx → f(x) = f(-x) both being even functions.


For 2 cos ax sin bx we can easily show that f(x) = -f(-x) which means it is odd.


As by the property of definite integration we know that-



⇒ I =


As using trigonometric formulae


⇒ I =


⇒ I =


The formula to be used:


∴ I =


⇒ I =


⇒ I =


∴


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