Ex 7.11, 19 - Show f(x) g(x) dx = 2 f(x), f(x) = f(a-x) - Definate Integration by properties - P4

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.11, 19 Show that _0^ ( ) ( ) =2 _0^ ( ) , if f and g are defined as ( )= ( ) and ( )+ ( )=4 Let I = _0^ ( ) ( ) I = _0^ ( ) [4 ( )] I = _0^ [4. ( ) ( ) ( )] I = 4 _0^ ( ) _0^ ( ) ( ) I = 4 _0^ ( ) _0^ ( ) ( ( )) I = 4 _0^ ( ) _0^ ( ) ( ) I =4 _0^ ( ) I I +I=4 _0^ ( ) 2I=4 _0^ ( ) I=2 _0^ ( ) _0^ ( ) ( ) =2 _0^ ( ) Hence Proved

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