Integral Calculus (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 17  20 of 20
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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. 


Question number: 19
» Integral Calculus » Determining Areas of Regions Bounded by Simple Curves
Appeared in Year: 2016
Question
The area of the region bounded by the curve and the axis, , is –
Choices
Choice (4)  Response  

a. 


b.  0 

c. 


d. 


Question number: 20
» Integral Calculus » Determining Areas of Regions Bounded by Simple Curves
Appeared in Year: 2016
Question
On the real line , we define two functions and as follows:
Where denotes the largest integer not exceeding . The positive integer for which
is –
Choices
Choice (4)  Response  

a.  202 

b.  100 

c.  200 

d.  198 
