Test: Application of Integrals- 2 - JEE MCQ

The area bounded by the parabolas y = (x+1)² and y = (x−1)² and the line y = (1/4) is equal to

The area enclosed between the curve y = log_e(x+e) and x = log_e 1/y and the x- axes is

The area bounded by the curve y = x³, the x – axis and two ordinates x = 1 and x = 2 is

The area bounded by the parabola y = x² + 1 and the straight line x + y = 3 is given by

The area enclosed between the curves y = √x  , x = 2y+3and the x-axis is

The area of the region {(x , y) : x²+y²⩽1⩽x+y} is equal to

The area bounded by y = |sinx| , the x – axis and the line |x| = π is

If A is the area between the curve y = sin2x , x – axis and the lines x = 

The area bounded by the curves y² = x and y = x² is

The positive value of the parameter a for which the area of the figure bounded by y = sin ax , y = 0 , x = x/a and x = x/3a is 3 is equal to

The area bounded by the parabolas y = 5x²and y − 9 = 2x² is

The area bounded by the curves y = √x , 2y+3 = x and the x – axis in the first quadrant is

The area bounded by y = 2cosx , x = 0 to x = 2π and the axis of x in square units is

The area common to the circle x²+y² = 16a² and the parabola y² = 6ax is 

The area bounded by the parabola y² = 4x and the line x + y = 3 is

The area enclosed by the parabola y² = 2x and its tangents through the point (-2 , 0) is

The area bounded by the curve y = x log x and  y = 2x−2x² is

The area of the figure bounded by the curve y = log_ex , the x – axis and the straight line x = e is

The area of the region bounded by the curves y = |x−1| and y = 3 - |x| is

The area bounded by the curve y = x²+1and the line x + y = 3 is

The area bounded by the angle bisectors of the lines x²−y²+2y = 1 and x+y = 3 is

The area bounded by the curves y= |x−1| and y = 1 is given by