The area bounded by [x] +[y] = 8 such that x, y > 0 is .... sq. units
Where [.] is G.I.F.
Let f : [0, ∞)→ R be a continuous and strictly increasing function such that The area enclosed by y = f (x), the xaxis and the ordinate at x = 3, is
1 Crore+ students have signed up on EduRev. Have you? Download the App 
The area bounded by x = x_{1}, y = y_{1} and y = (x + 1)^{2} where x_{1}, y_{1} are the values of x, y satisfying the equation sin^{1}x + sin^{1}y = π will be, (nearer to origin)
Area bounded between the curves
and be two functions and let f_{1}(x) = max {f(t), 0 < t < x, 0 < x <} and g_{1}(x) = min {g(t), 0 < t < x, 0 < x < 1}. Then the area bounded by f_{1}(x) < 0, g_{1}(x) < 0 and xaxis is
The values of the parameter a(a > 1) for which the area of the figure bounded by the pair of straight lines y^{2} – 3y + 2 = 0 and the curves is greatest is.
(Here [.] denotes the greatest integer function).
Area of region bounded by x^{2} + y^{2} < 4 and (x + y) < 2 is ____ square units.
The area of a circle is A_{1} and the area of a regular pentagon inscribed in the circle is A_{2} .Then A_{1} : A_{2} is
The area bounded by the curve and xaxis is
the area of the region bounded by y = x and y = x+ sin x is
The area bounded by the curves y = x^{2}, y = [x+1], x < 1 and the y  axis, where[.] denotes the greatest integer not exceeding x, is
The area of the smaller region in which the curve denotes the greatest integer function, divides the circle (x – 2)^{2} + (y + 1)^{2} = 4, is equal to
The area bounded by the curves y = 2 x 1 , y = sin x ; x = 0 and x =2 is
A curve passes through the point (0,1)and has the property that the slope of the curve at every point P is twice the y–coordinate of P . If the area bounded by the curve, the axes of coordinates and the line
The area bounded by the curve (y – arc sinx)^{2} = x – x^{2}, is
The area of the region enclosed by the curve 5x^{2} + 6xy + 2y^{2} + 7x + 6y + 6 = 0 is
Let f(x) be a continuous function such that the area bounded by the curve y = f(x), the xaxis and the two ordinates x = 0 and
The area enclosed between the curves y = sin^{4}x cos^{3}x, y = sin^{2}xcos^{3}x between x = 0 and
The area of the region bounded by the curves which contains (1, 0) point in its interior is
Area bounded by the curves y = e^{x} , y= log_{e} x and the lines x = 0, y = 0, y = 1 is
A circular arc of radius ‘1’ subtends an angle of ‘x’ radians, as shown in the figure. The point ‘R’ is the point of intersection of the two tangent lines at P & Q. Let T(x) be the area of triangle PQR and S(x) be area of the shaded region. Then
A point P moves inside a triangle formed by such that min {PA, PB, PC} = 1. The area formed by the curve traced by P is ....... sq. units
Area of the triangle formed by the tangent and normal at (1, 1) on the curve and the yaxis is
Area bounded by the curve and area bounded by latus rectum of
The area of the part of circle x^{2} + y^{2}  2x  4y 1 = 0 above 2x  y = 0 is ...... sq. units
The area bounded by the curves y = x – 1 and y – x 1is
Area of closed curve 3(x 1)^{2} + 4(y^{2}  3) = 0 is where [.] is G.I.F
Let f(x) = x + sin x. The area bounded by y = f^{1} (x), y = x, x ∈ [0, π] is
The area of the region bounded by the curves x + y < 2, x – y < 2 and 2x^{2} + 6y^{2} > 3 is
Area enclosed by the closed curve 5x^{2} + 6xy + 2y^{2} + 7x + 6y + 6 = 0 is
204 videos288 docs139 tests

Examples: Area Between 2 Curves Video  14:42 min 
Test: Application of Integrals Assertion & Reason Type Questions Test  6 ques 
Test: Application of Integrals Case Based Type Questions Test  15 ques 
Important Questions: Applications of Integrals Doc  2 pages 
NCERT Solutions  Exercise Miscellaneous : Application of Integral Doc  1 page 
204 videos288 docs139 tests

Examples: Area Between 2 Curves Video  14:42 min 
Test: Application of Integrals Assertion & Reason Type Questions Test  6 ques 
Test: Application of Integrals Case Based Type Questions Test  15 ques 
Important Questions: Applications of Integrals Doc  2 pages 
NCERT Solutions  Exercise Miscellaneous : Application of Integral Doc  1 page 