Let be defined by , where , for , then the area of the region bounded by the curves y=g(x), 2y=2x-3, y=0, x=4 is:

Let be defined by , where , for , then the area of the regio... — JEE PYQs | Mockzy

HardJEE PYQs

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Let $f : (1, \infty) \to R$ be defined by

$f (x) = \frac{x - 1}{x + 1} . I f f^{i + 1} (x) = f (f^{i} (x)),$

$i = 1, 2, \dots, 25$ , where $f^{0} (x) = x, an d g (x) + f^{26} (x) = 0$ , for $x \in (1, \infty)$ , then the area of the region bounded by the curves y=g(x), 2y=2x-3, y=0, x=4 is:

$\frac{1}{8} + lo g_{e} 2$ .

$\frac{1}{4} + lo g_{e} 2$ .

$\frac{5}{6} + 3 lo g_{e} 2$ .

$\frac{5}{6} + lo g_{e} 2$ .

Let y = y(x) be the solution of the differential equation +, where ,, . Then is

Let If f is continuous at , then the value of is:

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