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Civil Engineering (CE) Exam  >  Civil Engineering (CE) Tests  >  Engineering Mathematics  >  Test: Theorems of Integral Calculus- 1 - Civil Engineering (CE) MCQ

Test: Theorems of Integral Calculus- 1 - Civil Engineering (CE) MCQ


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20 Questions MCQ Test Engineering Mathematics - Test: Theorems of Integral Calculus- 1

Test: Theorems of Integral Calculus- 1 for Civil Engineering (CE) 2024 is part of Engineering Mathematics preparation. The Test: Theorems of Integral Calculus- 1 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Theorems of Integral Calculus- 1 MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Theorems of Integral Calculus- 1 below.
Solutions of Test: Theorems of Integral Calculus- 1 questions in English are available as part of our Engineering Mathematics for Civil Engineering (CE) & Test: Theorems of Integral Calculus- 1 solutions in Hindi for Engineering Mathematics course. Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free. Attempt Test: Theorems of Integral Calculus- 1 | 20 questions in 60 minutes | Mock test for Civil Engineering (CE) preparation | Free important questions MCQ to study Engineering Mathematics for Civil Engineering (CE) Exam | Download free PDF with solutions
Test: Theorems of Integral Calculus- 1 - Question 1
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As x is increased from – ∞ to ∞ , the function 

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Test: Theorems of Integral Calculus- 1 - Question 2
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Test: Theorems of Integral Calculus- 1 - Question 3
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Given  

Square both side, we get

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Test: Theorems of Integral Calculus- 1 - Question 5
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cos x and sin x are finite whatever x may be  

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Test: Theorems of Integral Calculus- 1 - Question 7
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Which of the following functions is not differentiable in the domain [-1,1]? 
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Test: Theorems of Integral Calculus- 1 - Question 8
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If f(x) =    then limx-►3 f(x) will be  
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Test: Theorems of Integral Calculus- 1 - Question 9
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= 1/12

Test: Theorems of Integral Calculus- 1 - Question 10
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What should be the value of λ such that the function defined below is continuous at x = π/2? 
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By the given condition 

From (1), λ = 1 

Test: Theorems of Integral Calculus- 1 - Question 11
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The value of the function  

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Test: Theorems of Integral Calculus- 1 - Question 12
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Consider the function f(x) = |x|3, where x is real. Then the function f(x) at x = 0 is
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Test: Theorems of Integral Calculus- 1 - Question 13
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The expression e–ln x for x > 0 is equal to  
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Test: Theorems of Integral Calculus- 1 - Question 14
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Consider the following two statements about the function f(x) = |x|  

P: f(x) is continuous for all real values of x

 Q: f(x) is differentiable for all real values of x  

Which of the f oll owi ng is TRU E? 
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The graph of f(x) is  

f(x) is continuous for all real values of x   Lim |x| = Lim |x| = 0 

as can be seen from graph of |x|. 

and  Lim f(x) = +1 as can be seen from graph of |x| 

 x → 0+ 

Left deriva tive ≠ Rig ht derivative 

So |x| is continuous but not differentiable at x = 0. 

Test: Theorems of Integral Calculus- 1 - Question 15
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What is the value of 

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Test: Theorems of Integral Calculus- 1 - Question 16
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The integral    is given by
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Test: Theorems of Integral Calculus- 1 - Question 17
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Which one of the following function is strictly bounded?   
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For a strictly bounded function f(x), limit should be finite 

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Test: Theorems of Integral Calculus- 1 - Question 19
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Which of the following integrals is unbounded? 
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Test: Theorems of Integral Calculus- 1 - Question 20
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What is the value of the definite integral, 

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