Question

If the area of the region bounded by the curves, y = x², y = 1/x and the lines y = 0 and x = t (t > 1) is 1 sq. unit, then t is equal to 

(A) e^3/2

(B) 4/3 

(C) 3/2 

(D) e^2/3 

Answer 1

Answer is (D) e^2/3

Given: The region bounded by the curves, y = x², y = 1/x and the lines y = 0 and x = t (t > 1)

So, area bounded by these curves is given by