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JEE Advanced Level Test: Definite Integral- 2 - Question 1

If , where a >1 and [.] denotes the greatest integer function, then the value of a^{2} is

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JEE Advanced Level Test: Definite Integral- 2 - Question 2

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

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 2

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Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 3

JEE Advanced Level Test: Definite Integral- 2 - Question 4

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

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JEE Advanced Level Test: Definite Integral- 2 - Question 6

If f is continuous function and then the value of is

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JEE Advanced Level Test: Definite Integral- 2 - 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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JEE Advanced Level Test: Definite Integral- 2 - Question 8

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

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JEE Advanced Level Test: Definite Integral- 2 - Question 9

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

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JEE Advanced Level Test: Definite Integral- 2 - Question 10

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

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JEE Advanced Level Test: Definite Integral- 2 - Question 16

If the value of then the value of k is

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JEE Advanced Level Test: Definite Integral- 2 - Question 20

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

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JEE Advanced Level Test: Definite Integral- 2 - Question 21

,where denotes greatest integer function is given by

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JEE Advanced Level Test: Definite Integral- 2 - Question 25

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

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JEE Advanced Level Test: Definite Integral- 2 - Question 29

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

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