Integral Calculus (KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 14  18 of 20
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Question number: 14
» Integral Calculus » Fundamental Theorem of Calculus
Appeared in Year: 2013
Question
For a real number let denote the largest integer less than or equal to and . The smallest possible integer value of for which exceeds 2013 is – (Model Paper)
Choices
Choice (4)  Response  

a.  90 

b.  64 

c.  63 

d.  91 

Question number: 15
» Integral Calculus » Evaluation of Definite Integrals
Appeared in Year: 2015
Question
Define a function by , where is fixed natural number. Then
is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 16
» Integral Calculus » Fundamental Integrals Involving Functions
Appeared in Year: 2015
Question
Let be a continuous function satisfying,
For all . Then –
Choices
Choice (4)  Response  

a. 


b.  is an odd function 

c. 


d.  has more than 1 point in common with the axis 

Question number: 17
» Integral Calculus » Properties of Definite Integrals
Appeared in Year: 2015
Question
If is a cubic polynomial with , and , then
Choices
Choice (4)  Response  

a.  3 

b.  2 

c.  5 

d.  4 

Question number: 18
» Integral Calculus » Fundamental Integrals Involving Functions
Appeared in Year: 2016
Question
The limit equals –
Choices
Choice (4)  Response  

a. 


b.  2 

c. 


d. 

