Definite IntegrationHard

Question

Suppose that F(x) is an anti derivative of f(x) = , x > 0 then dx can be expressed as -

Options

A.F(6) - F(2)
B.(F(6) - F (2))
C.(F(3) - F(1))
D.2(F(6) - F(2))

Solution

F(x) = dx
Now I = dx [put 2x = t]
= dt = [F(x)]26 = F(6) - F(2)

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