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JEE Main2012MathematicsDefinite IntegrationActual

If g(x)= ₀^x 4 t ~d t , then g(x+ ) equals

Options

  1. Ag(x) g( )
  2. Bg(x)+g( )
  3. Cg(x)-g( )
  4. DNone of these

Correct answer

B. g(x)+g( )

Step-by-step solution

g(x)= ₀^x 4 t ~d t g^ (x)= 4 x g(x)= 4 x 4 +k g(x)= 4 x 4 [ g(0)=0]g(x+ )=g(x)+g( )=g(x)-g( )( g( )=0)

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