Integral Calculus (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 8  11 of 20
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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 

Question number: 10
» 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 and . Let be a positive integer. Then is equal to –
Choices
Choice (4)  Response  

a.  0 

b. 


c.  1 

d. 


Question number: 11
» Integral Calculus » Fundamental Integrals Involving Functions
Appeared in Year: 2014
Question
A continuous function satisfies the equation,
Which of the following options is true?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

