Integral Calculus -2


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


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Attempt Integral Calculus -2 | 20 questions in 60 minutes | Mock test for IIT JAM preparation | Free important questions MCQ to study IIT JAM Mathematics for IIT JAM Exam | Download free PDF with solutions
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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