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Engineering Mathematics Exam  >  Engineering Mathematics Tests  >  Calculus  >  Test: Integral Calculus - Engineering Mathematics MCQ

Test: Integral Calculus - Engineering Mathematics MCQ


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20 Questions MCQ Test Calculus - Test: Integral Calculus

Test: Integral Calculus for Engineering Mathematics 2025 is part of Calculus preparation. The Test: Integral Calculus questions and answers have been prepared according to the Engineering Mathematics exam syllabus.The Test: Integral Calculus MCQs are made for Engineering Mathematics 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Integral Calculus below.
Solutions of Test: Integral Calculus questions in English are available as part of our Calculus for Engineering Mathematics & Test: Integral Calculus solutions in Hindi for Calculus course. Download more important topics, notes, lectures and mock test series for Engineering Mathematics Exam by signing up for free. Attempt Test: Integral Calculus | 20 questions in 60 minutes | Mock test for Engineering Mathematics preparation | Free important questions MCQ to study Calculus for Engineering Mathematics Exam | Download free PDF with solutions
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Test: Integral Calculus - Question 11
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If A is the region bounded by the parabolas y2 = 4x and x2 = 4y then    is equal to 
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Test: Integral Calculus - Question 12
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The area of the region bounded by the curves x2 + y2 = a2  and x + y = a in the first quadrant is given by 
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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)

 

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The area bounded by the curves y = 2√x , y = -x , x = 1  and x = 4 is given by
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The given equations of the curves are

Test: Integral Calculus - Question 14
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The area of the cardioid r = a (1 + cos θ) is given by
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The equation of the cardioid is

r = a (1 + cos θ)  .... (i)

If a figure is drawn then from fig. the required area is

 

Test: Integral Calculus - Question 15
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The area bounded by the curve r = θ cosθ and the lines θ = 0 and θ = π/2 is given by
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 The equation of the given curve is

r = θ cosθ ...(i)

The required area

 

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The area of the lemniscate r2 = a2 cos2θ is given by 
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If a figure is drawn then from fig. the required area is

Test: Integral Calculus - Question 17
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The area of the region bounded by the curve y(x2 + 2) = 3x and 4y = x2 is given by 
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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

Test: Integral Calculus - Question 18
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The volume of the cylinder x2 + y2 = a2 bounded below by z = 0 and bounded above by z = h is given by
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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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Test: Integral Calculus - Question 20
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The area of the region, enclosed by the circle x2 + y2 = 2 which is not common to the region bounded by the parabola y2 = x and the straight line y = x is
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Required area = area of the circle – area bounded by given line and parabola

Required area = πr2 –


= 2π – (1/6)
= (1/6)(12π – 1) 

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