Find the value of `a` where `(a >2)` for which the reciprocal of the area enclosed between `y=1/(x^2),y=1/(4(x-1)),x=2,a n dx=a` is `a` itself and for what values of `b in (1,2),` the area of the figure bounded by the lines `x=ba n dx=2i s1-1/bdot`

Find the value of a where (a>2) for which the reciprocal of the area enclosed between y=(1)/(x^(2)),y=(1)/(4(x-1)),x=2, and x=a is a itself and for what values of b in(1,2), the area of the figure bounded by the lines x=b and x=2 is 1-(1)/(b).

Find the area of the region bounded by the lines y=2x+1,y=3x+1 and x=4.

Find the area of the bounded by the curve y^2 =2x+1 and the line x-y=1

Consider the two curves y = 1//x^(2) and y = 1//[4(x-1)] . At what value of 'a' (a gt 2) is the reciprocal of the area of the figure bounded by the curves, the lines x = 2 and x = a equal to 'a' itself ? (ii) At what value of 'b' (1 lt b lt 2) the area of the figure bounded by the these curves, the lines x = b and x = 2 equal to 1-1//b .

For what value of ‘a’ is the area of the figure bounded by the lines y= 1/x, y=1/(2x-1), x=2 and x = a equal to ln 4/sqrt(5) ?

Find the area bounded by the curve y^2=4a^2(x-1) and the lines x=1a n dy=4adot

Find the area of the region bounded by the curve (y-1)^2=4(x+1) and the line y= x-1

Find the area enclosed between the curves y=x^(2)+1,y=2x-2 and the ordinates x=-1 and x = 2

Find the area enclosed between the curves y=x^(2)+1,y=2x-2 and the ordinates x=-1 and x = 2

If the area enclosed between the curves y=a x^2a n dx=a y^2(a >0) is 1 square unit, then find the value of adot