Integral Calculus -6


20 Questions MCQ Test Topic-wise Tests & Solved Examples for IIT JAM Mathematics | Integral Calculus -6


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This mock test of Integral Calculus -6 for Mathematics helps you for every Mathematics entrance exam. This contains 20 Multiple Choice Questions for Mathematics Integral Calculus -6 (mcq) to study with solutions a complete question bank. The solved questions answers in this Integral Calculus -6 quiz give you a good mix of easy questions and tough questions. Mathematics students definitely take this Integral Calculus -6 exercise for a better result in the exam. You can find other Integral Calculus -6 extra questions, long questions & short questions for Mathematics on EduRev as well by searching above.
QUESTION: 1

If a function f is continuous for x ≥ 0 and satisfies  then the value of f ' (π/4) is:

Solution:
QUESTION: 2

 is equal to: 

Solution:


QUESTION: 3

 is equal to:

Solution:

QUESTION: 4

Solution:


When x = 0, t = 1, when x = 1, t = 0
Hence 

QUESTION: 5

The value of 

Solution:

Let 

QUESTION: 6

then the value of  un-2 is:

Solution:




QUESTION: 7

The value of 

Solution:

QUESTION: 8

Solution:


QUESTION: 9

The value of c > 0 for which 

Solution:



QUESTION: 10

The value of 

Solution:



QUESTION: 11

Solution:

   ...(i)

QUESTION: 12

The length of arc of the curve y = x, between the points x = -1 and x = 1 is given by:

Solution:


QUESTION: 13

Solution:



QUESTION: 14

The value of  ,(n > 1 and integer) is

Solution:

When n = 2, then

When n = 3, then

QUESTION: 15

Solution:





QUESTION: 16

 then f(3) + f(1) equals:

Solution:



QUESTION: 17

Solution:


QUESTION: 18

 is given by:

Solution:





QUESTION: 19

The value of the integral 

Solution:




QUESTION: 20

 is equal to:

Solution:

we have


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