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If y = f(x) makes +ve intercept of 2 and 0 unit on x and y axes and encloses an area of 3/4 square unit with the axes then
The area bounded by the curves y = lnx, y = ln x,y= ln x  and y =  ln x  is
The area of the region bounded by the curves y = x  1 and y = 3  x is
is equal to
Let f(x) be a function satisfying f '(x) = f(x) with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x^{2} . Then the value of the integral
The value of the integral
and then the value of is
The area of the region boun ded by the curves y =  x  2 , x = 1,x = 3 and the xaxis is
The area enclosed between the curve y = log_{e} (x +e) and the coordinate axes is
The parabolas y^{2} = 4x and x^{2} = 4y divide the square region bounded by the lines x = 4, y = 4 and the coordinate axes. If S_{1} , S_{2} , S_{3} are respectively the areas of these parts numbered from top to bottom; then S_{1} : S_{2} : S_{3} is
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
is equal to
The value of denotes the greatest integer not exceeding x is
Then F(e) equals
The solution for x of the equation
The area enclosed between the curves y^{2} = x and y =  x  is
Then which one of the following is true?
The area of the plane region bounded by the curves x + 2y^{2} = 0 and x + 3y^{2} = 1is equal to
The area of the region bounded by the parabola (y – 2)^{2} = x –1, the tangent of the parabola at the point (2, 3) and the xaxis is:
denotes the greatest integer function, is equal to :
The area bounded by the curves y = cos x and y = sin x between the ordinates x = 0 and
Let p(x) be a function defined on R such that p '(x) = p'(1 – x), for all x ∈ [0, 1], p (0) = 1 and p (1) = 41. Then
The value of
The area of the region enclosed by the curves y = x, x = e, y = 1/x and the positive xaxis is
The area between the parabolas and the straight line y = 2 is :
then g (x + π) equals
Statement1 : The value of the integral
The area (in square units) bounded by the curves and lying in the first quadrant is :
The integral
The area of the region described by
The area (in sq. units) of the region described by {(x, y) : y^{2} < 2x and y > 4x – 1} is
The integral
The area (in sq. units) of the region {(x, y) : y^{2} > 2x and x^{2} + y^{2} < 4x, x > 0, y > 0} is :
447 docs930 tests

447 docs930 tests
