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The value of integral over the region in the positive quadrant for which x + y ≤ 1, is
The area of smaller part between the circle x2 + y2 = 4 and line x = 1 is
The area bounded by curve, y = x2 and y = 2 - x2 is
The volume of the region bounded by the surfaces y = x2, x = y2 and the planes z = 0, z = 3 is,
The area of largest part between the circle x2 + y2 = 8 and the line is x+y = 2√2 is,
Area bounded by the curve xy - 3x - 2y -10 = 0, x-axis and the lines x = 3,x = 4 is
The value of the double integral where R = [0 ,1 ; 0, 3] and [ x + y ] denotes the greatest integer less than or equal to (x + y) is,
The area of the loop of the curve ay2 = x2(a - x) is
The length of the arc of the curve
x sinθ + y cosθ = f'(θ)
x cosθ - y sinθ = f"(θ) is given by
Evaluate were R is bounded by y = x2 and y = x3
The area bounded by the curves and x = 4 is given by
Which of the following is the volume generated by rotating the area bounded by and y = 2 about the x - axis ?
Let F : R → R be a continuous function and a > 0. Then tine integral is equal to
Find the length of the arc of the semi cubical parabola ay2 = x3 from its vertex to the point (a, a).
Let then the total no. of real distinct roots of the equation x2 - f'(x)= 0 is
Compute the integral along the arc of the parabola x = y2 fro m (1 , - 1 )to(1, 1)
By changing the order of integration, the integral can be represented as determine the value of A.