Application of Integrals - 2 - Free MCQ Practice Test with solutions, JEE

Area included between curves y = x² – 3x + 2 and y = – x² + 3x – 2 is -

The area bounded by the parabola y² = x, the line y = 4 and y-axis -

The area of the region bounded by the lines y = |x – 2|, x = 1,x = 3 and the x axis is

The area bounded by the curve xy –3x –2y –10 = 0, x-axis and straight lines x = 3, x = 4 is

The area bounded by y = x e^|x| and the lines | x | = 1, y = 0 is -

The area between the parabola y² = 4ax and its latus rectum is -

The area bounded by the graph y = |[x – 3]| the x-axis and the lines x = –2 and x = 3 is ([.] denotes the greatest integer function) -

Area bounded by the curve y² (2a – x) = x³ and the line x = 2a is -

Area of loop of curve y² = x(1 – x)² is :

The area bounded by the curve | x | + y = 1 and axis of x is given by -

The area of the region bounded by y = |x – 1| and y = 1 is -

The area in the first quadrant between x² + y² = π² and y = sin x is -

Area bounded by y = e^x, y = e^–x, x = 1 is :

The line y = mx bisects the area enclosed by the lines x = 0, y = 0, x =3/2 and the curve y = 1 + 4x – x². The value of m is -

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

The area bounded by the curve y = x² + 4x + 5 , the axes of co-ordinates & the minimum ordinate is

The area of the region bounded by the curves y = | x – 2 | and y = 4 – | x | is -

The area bounded by y = x² + 2 and y = 2|x| – cos πx is equal to -

The area of smaller portion bounded by |y| = – x + 1 and y² = 4x is -

The area enclosed between the parabolas y² = 4ax and x² = 4by is -