Mathematics : Integrals

• I > 2/ 3 and J > 2

• I < 2/ 3 and J < 2

• I < 2/ 3 and J > 2

• I < 2/ 3 and J > 2

The value of 

• 1/2

• 1

• 2

• 2

The value of the integral, is

• 1/2

• 3/2

• 2

• 2

Let f : R → R be a differentiable function having f (2) = 6, f′ (2) =(1/48) . Then 

• 24

• 36

• 12

• 12

Let f (x) be a non−negative continuous function such that the area bounded by the curve y = f (x), x−axis and the ordinates x = π/4  and x = β >  π/4  Then f (π/2) is

The value of 

• a π

• π/2

• π/a

• π/a