Test: Integral Calculus
20 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: Integral Calculus
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If A is the region bounded by the parabolas y2 = 4x and x2 = 4y then 
is equal to
The area of the region bounded by the curves x2 + y2 = a2 and x + y = a in the first quadrant is given by
The curves are
x2 + y2 = a2 ...(i)
and x + y = a ...(ii)
The curves (i) and (ii) intersect at A (a, 0) and B (0,a)
The area bounded by the curves y = 2√x , y = -x , x = 1 and x = 4 is given by
The given equations of the curves are
The area bounded by the curves y2 = 9x , x - y + 2 = 0 is given by
The equations of the given curves are
The equation of the cardioid is
r = a (1 + cos θ) .... (i)
If a figure is drawn then from fig. the required area is
The area bounded by the curve r = θ cosθ and the lines θ = 0 and θ = π/2 is given by
The equation of the given curve is
r = θ cosθ ...(i)
The required area
If a figure is drawn then from fig. the required area is
The area of the region bounded by the curve y(x2 + 2) = 3x and 4y = x2 is given by
The equations of given curves are
y(x2 + 2) = 3x ....(i) and 4y = x2 ....(ii)
The curve (i) and (ii) intersect at A (2, 1).
If a figure is drawn then from fig. the required area is
The volume of the cylinder x2 + y2 = a2 bounded below by z = 0 and bounded above by z = h is given by
The equation of the cylinder is x2 + y2 = a2
The equation of surface CDE is z = h
If a figure is drawn then from fig. the required area is
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