Let . If and , , then is equal to: — JEE PYQs | Mockzy

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Let

f (x) = \int (\frac{16 x ^{2} + 24}{( 2 x ^{2} - 2 x - 15 ) ^{2}}) d x

. If

f (4) = 14 lo g_{e} (3)

and

f (7) = lo g_{e} (2^{α} \cdot 3^{β})

α, β \in N

, then

α + β

is equal to:

Let be a polynomial of degree 5, and have extrema at and . If , then is equal to

Let be the solution of the differential equation 1, x(e) = e' display='false'>.

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