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Test: Definite Integral (Competition Level) - 2


30 Questions MCQ Test Mathematics (Maths) Class 12 | Test: Definite Integral (Competition Level) - 2


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This mock test of Test: Definite Integral (Competition Level) - 2 for JEE helps you for every JEE entrance exam. This contains 30 Multiple Choice Questions for JEE Test: Definite Integral (Competition Level) - 2 (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Definite Integral (Competition Level) - 2 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Test: Definite Integral (Competition Level) - 2 exercise for a better result in the exam. You can find other Test: Definite Integral (Competition Level) - 2 extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

If  , where a >1 and [.] denotes the greatest integer function, then the value of a2 is

Solution:

QUESTION: 2

Number of positive continuous functions f (x ) defined in [0,1] for which   is

Solution:

Multiplying these integrals by 4, -4,1 and adding we get

Hence, there does not exist any function satisfying these conditions.

 

QUESTION: 3

For   and     has the  value equal to

Solution:

 

QUESTION: 4

If  and  where [.] denotes the greatest integer function,  then the value of     equals to
Solution:

   

QUESTION: 5

 is equal to
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QUESTION: 6

If f is continuous function and    then the value  of  is
Solution:

 

QUESTION: 7

Let a >0 and f (x ) is monotonic increasing such that f ( 0) = 0 and f ( a ) = b, then    is equal to
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QUESTION: 8

If      f ( x ) = x+ sin x, then the value of    is equal to 
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QUESTION: 9

If f ( x ) = sin x+ cos x and   , then the value  of  is   equal to
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QUESTION: 10

Let  and g ( x ) = f ( x - 1) + f ( x + 1) for all x ÎR , then the  of value is
Solution:




QUESTION: 11

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QUESTION: 12

Let    and    then f ( 4 ) equals
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QUESTION: 13

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QUESTION: 14

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QUESTION: 15

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QUESTION: 16

If the value of    then the value of k is
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QUESTION: 17

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QUESTION: 18

if   then 
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QUESTION: 19

If   and   then
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QUESTION: 20

 where [.] denote greatest integer function, is equal to
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QUESTION: 21

,where denotes greatest integer function is given by
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QUESTION: 22

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QUESTION: 23

Let   then
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QUESTION: 24

If [.] denotes G.I.F, 

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QUESTION: 25

The value of constant a >0 such that   where  denotes G.I.F is ___
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QUESTION: 26

A function f is defined by 

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QUESTION: 27

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QUESTION: 28

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QUESTION: 29

If    Then in the interval  (0,4); f(x)=0 has
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QUESTION: 30

Solution:

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