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Newton-Leinbnitz's formula states that d...

Newton-Leinbnitz's formula states that `d/dx(int_(phi(x))^(psi(x)) f(t)dt)=f(psi(x)){d/dxpsi(x)}-f(phi(x)){d/dxphi(x)}`
Answer the following questions based on above passage:
Let f(x) be a differentiable function and f(1)=2, If `lim_(xrarr1)int_2^(f(x)) (2t)/(x-1)dt=4`, then the value of f'(1) is equal to

A

1

B

2

C

3

D

4

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A
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