Integral Calculus -1


20 Questions MCQ Test IIT JAM Mathematics | Integral Calculus -1


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Attempt Integral Calculus -1 | 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

 is equal to

Solution:

QUESTION: 2

Solution:


QUESTION: 3

x sec2 (x2 +1) tan (x2 +1) dx is equal to

Solution:

QUESTION: 4

Solution:

QUESTION: 5

Solution:



QUESTION: 6

Solution:


QUESTION: 7

Solution:

QUESTION: 8

Solution:

Let us assume that 

Therefor

QUESTION: 9

Solution:

QUESTION: 10

The value of 

Solution:


QUESTION: 11

sec x(1 + tan x) dx is equal to

Solution:

QUESTION: 12

Solution:



QUESTION: 13

As n —> ∞ the expression  is equal to 

Solution:


QUESTION: 14

The value of 

Solution:



Put sin x = t
=> cos x dx = dt

QUESTION: 15

 log tan xdx is equal to:

Solution:

 ... (i)

  ... (ii)
Adding (i) and (ii), we get

Hence,

QUESTION: 16

 id equal to

Solution:

QUESTION: 17

 = K, then the value of 

Solution:
QUESTION: 18

Solution:



QUESTION: 19

Using the definition of integration as a process of summation 

Solution:





QUESTION: 20

 x dx is equal to

Solution:
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