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Physics Exam  >  Physics Tests  >  Topic wise Tests for IIT JAM Physics  >  Integral Calculus MCQ Level - 1 - Physics MCQ

Integral Calculus MCQ Level - 1 - Physics MCQ


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10 Questions MCQ Test Topic wise Tests for IIT JAM Physics - Integral Calculus MCQ Level - 1

Integral Calculus MCQ Level - 1 for Physics 2024 is part of Topic wise Tests for IIT JAM Physics preparation. The Integral Calculus MCQ Level - 1 questions and answers have been prepared according to the Physics exam syllabus.The Integral Calculus MCQ Level - 1 MCQs are made for Physics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Integral Calculus MCQ Level - 1 below.
Solutions of Integral Calculus MCQ Level - 1 questions in English are available as part of our Topic wise Tests for IIT JAM Physics for Physics & Integral Calculus MCQ Level - 1 solutions in Hindi for Topic wise Tests for IIT JAM Physics course. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free. Attempt Integral Calculus MCQ Level - 1 | 10 questions in 30 minutes | Mock test for Physics preparation | Free important questions MCQ to study Topic wise Tests for IIT JAM Physics for Physics Exam | Download free PDF with solutions
Integral Calculus MCQ Level - 1 - Question 1
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The area of the region bounded by the curves y = |x – 1| and y = 3 – |x| is :

Detailed Solution for Integral Calculus MCQ Level - 1 - Question 1


The required area can be divided into, three regions

= 2 – 1 + 2 + 8 – 4 – 4 +1
= 4 sq. units
The correct answer is: 4 sq. units

Integral Calculus MCQ Level - 1 - Question 2
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Detailed Solution for Integral Calculus MCQ Level - 1 - Question 2

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Integral Calculus MCQ Level - 1 - Question 3
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The area of the plane, region bounded by the curves x + 2y2 = 0 and x + 3y2 = 1 is equal to :

Detailed Solution for Integral Calculus MCQ Level - 1 - Question 3

The required area is

The correct answer is 4/3 sq.units

Integral Calculus MCQ Level - 1 - Question 4
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The value of  
Detailed Solution for Integral Calculus MCQ Level - 1 - Question 4

After changing the order, we get


The correct answer is:  

Integral Calculus MCQ Level - 1 - Question 5
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The area bounded by the curve y = 2x – x2 and the straight line y = –x is given by :
Detailed Solution for Integral Calculus MCQ Level - 1 - Question 5

The required area is bounded by the curves


∴  The area will be given by


The correct answer is:  9/2 sq.units

Integral Calculus MCQ Level - 1 - Question 6
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The change of order of integration of the integral 
Detailed Solution for Integral Calculus MCQ Level - 1 - Question 6

The region of integration is



Hence, changing the order of integration, we get, 

The correct answer is: 

Integral Calculus MCQ Level - 1 - Question 7
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The area bounded by the curves |x| + |y| ≥ 1 and x2 + y2 ≤ 1 is :
Detailed Solution for Integral Calculus MCQ Level - 1 - Question 7

The required area can be evaluated by

Aliter: Required area = Area of circle – Area of square.

= (π - 2) 

sq. units

The correct answer is: (π - 2)  sq. units

Integral Calculus MCQ Level - 1 - Question 8
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The area of the region bounded by the curves y = |x – 2|, x = 1, x = 3 and the x–axis is :
Detailed Solution for Integral Calculus MCQ Level - 1 - Question 8

The required area is


The correct answer is: 1 sq. unit

Integral Calculus MCQ Level - 1 - Question 9
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The integral   becomes    after reversing the order of integration.

Then the incorrect option would be :
Detailed Solution for Integral Calculus MCQ Level - 1 - Question 9

The given region of integration is bounded by 
 plotting all these curves, we have

Reversing the order of integration, we have the domain of integration divided into 2 regions – I and II.

∴ The integral becomes:

The correct answer is:  Q = e

Integral Calculus MCQ Level - 1 - Question 10
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 is equivalent to : 
Detailed Solution for Integral Calculus MCQ Level - 1 - Question 10

The region of integration is bounded by  and 

Changing the order of integration,


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Integral Calculus MCQ Level - 1

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