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Integral Calculus -2


20 Questions MCQ Test IIT JAM Mathematics | Integral Calculus -2


Description
This mock test of Integral Calculus -2 for IIT JAM helps you for every IIT JAM entrance exam. This contains 20 Multiple Choice Questions for IIT JAM Integral Calculus -2 (mcq) to study with solutions a complete question bank. The solved questions answers in this Integral Calculus -2 quiz give you a good mix of easy questions and tough questions. IIT JAM students definitely take this Integral Calculus -2 exercise for a better result in the exam. You can find other Integral Calculus -2 extra questions, long questions & short questions for IIT JAM on EduRev as well by searching above.
QUESTION: 1

Solution:

  ...(i)

   ....(ii)
Adding (i) and (ii), we get
2l=0
implies 1 = 0

QUESTION: 2

The value of 

Solution:

QUESTION: 3

The value of is equal to

Solution:

Here f(t) = t3 is continuous function, so from by fundamental theorem of calculus (If f is constinuous on an interval, then f has an anti-derivative on that interval)

QUESTION: 4

Solution:

QUESTION: 5

 mπ, then the value of m is: 
Solution:

Given that


Hence 

QUESTION: 6

The value of the integral | sin x | dx is equal to:
Solution:


[Since sin x is periodic with period π]

QUESTION: 7

The value of 
Solution:


QUESTION: 8

 x dx is equal to:
Solution:

QUESTION: 9

Solution:



QUESTION: 10

Solution:



QUESTION: 11

 xF(sin X) dx is equal to
Solution:

   ...(i)

  ...(ii)
Adding (i) and (ii), we get

Hence 

QUESTION: 12

 = where [ ] represents greatest integer: 
Solution:



QUESTION: 13

The value of 
Solution:


QUESTION: 14

Solution:



QUESTION: 15

 dt, then the derivative of f(x) with respect to x is:
Solution:





QUESTION: 16

Solution:

Given that

Hence 

QUESTION: 17

The value of 
Solution:


QUESTION: 18

 is equal to
Solution:


QUESTION: 19

If f(x) is the integral of , x ≠ 0, then 
Solution:

We have 

QUESTION: 20

 x dx is equal to:
Solution:


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