Integral Calculus (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 6  9 of 20
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Question number: 6
» Integral Calculus » Evaluation of Simple Integrals
Appeared in Year: 2012
Question
The value is
Choices
Choice (4)  Response  

a.  4024 

b.  0 

c.  2012 

d.  2013 

Question number: 7
» Integral Calculus » Integration Using Trigonometric Identities
Appeared in Year: 2013
Question
For x, t ∈ R let,
be a family of quadratic polynomials in x with variable coefficients. Let
Which of the following statements are true?
(i) for all t.
(ii) has infinitely many critical points.
(iii) for infinitely many t
(iv) for all t.
Choices
Choice (4)  Response  

a.  (i) and (ii) only 

b.  (iii) and (iv) only 

c.  (ii) and (iii) only 

d.  (iv) and (i) only 

Question number: 8
» Integral Calculus » Integral as Limit of a Sum
Appeared in Year: 2014
Question
For a real number let denote the largest integer less than or equal to . The smallest positive integer for which the integer exceed 60 is –
Choices
Choice (4)  Response  

a.  9 

b.  10 

c.  8 

d. 


Question number: 9
» Integral Calculus » Integration Using Trigonometric Identities
Appeared in Year: 2013
Question
A function is defined as,
It is a family of quadratic polynomials in with variable coefficients. And also function,
Which of the following statements are true?
(i)
(ii) has infinitely many critical points.
(iii) (Model Paper)
Choices
Choice (4)  Response  

a.  (iii) and (i) only 

b.  (i) and (ii) only 

c.  (iii) only 

d.  (ii) and (iii) only 
