You can prepare effectively for Physics Topic wise Tests for IIT JAM Physics with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Integral Calculus MCQ Level - 2". These 10 questions have been designed by the experts with the latest curriculum of Physics 2026, to help you master the concept.
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The area of the figure bounded by the straight lines x = 0, x = 2 and the curves y = 2x and y = 2x – x2 is :
Detailed Solution: Question 1
The area of the region inside the curve r = a cosθ and outside the cardioid r = a(1 – cos θ) will be :
Detailed Solution: Question 2
The area bounded by the curves y2 = x – 1, 2y = x, x – axis and y – axis will be equal to :
Detailed Solution: Question 3
The area contained between the curve
and x – axis is :
Detailed Solution: Question 4
The area included between the circles r = 2acosθ, r = 2bcosθ; a > b is equal to :
Detailed Solution: Question 5
The area of the region R, R : r = a(2 – cos2θ), 0 < θ < 2π will be :
Detailed Solution: Question 6
The area of the cardioid r = a(1 + cosθ) lying above x–axis is :
Detailed Solution: Question 7
The area lying inside the cardioid r = a(1 + cos θ) and outside the circle r = a is :
Detailed Solution: Question 8
The area bounded by the curve y = log x and y = (log x)2 is :
Detailed Solution: Question 9
The area bounded by y = 1 + 2sin2x, x – axis, x = 0 and x = π is :
Detailed Solution: Question 10