Paragraph: Let f and g be two real valued differentiable function on R satisfying ₀^x g(t) d t=3 x+ _x^0 ^2 t g(t) d t and f(x)= _ 0 1 ^4 ₀^ (e^ x+t -e^x ) ^2(1+t) 2 t^3+3 d t Question: The value of definite integral ₀^ / 2 g(x) d x has in

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Paragraph: Let f and g be two real valued differentiable function on R satisfying ₀^x g(t) d t=3 x+ _x^0 ^2 t g(t) d t and f(x)= _ 0 1 ^4 ₀^ (e^ x+t -e^x ) ^2(1+t) 2 t^3+3 d t Question: The value of definite integral ₀^ / 2 g(x) d x has in the interval

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Correct answer: C. ( 3 4 , 6 5 )

aligned & Let I= ₀^ / 2 g(x) d x & = ₀^ / 2 3 1+ ^2 x d x & = ₀^ / 2 3 ^2 x ^2 x+2 d x & = 3 2 2 aligned

Paragraph: Let f and g be two real valued differentiable function on R satisfying ₀^x g(t) d t=3 x+ _x^0 ^2 t g(t) d t and f(x)= _ 0 1 ^4 ₀^ (e^ x+t -e^x ) ^2(1+t) 2 t^3+3 d t Question: The value of definite integral ₀^ / 2 g(x) d x has in the interval

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