Integral Calculus (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 10  13 of 20
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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. 


Question number: 12
» Integral Calculus » Evaluation of Definite Integrals
Appeared in Year: 2014
Question
Let, Where, is a nonnegative integer. Then,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 13
» Integral Calculus » Integral as Limit of a Sum
Appeared in Year: 2013
Question
Let be a positive integer. For a real number , let denoted the largest integer not exceeding and . Then,
is equal to – (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

