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Test: Indefinite Integration (Competition Level) - 2


30 Questions MCQ Test Mathematics (Maths) Class 12 | Test: Indefinite Integration (Competition Level) - 2


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This mock test of Test: Indefinite Integration (Competition Level) - 2 for JEE helps you for every JEE entrance exam. This contains 30 Multiple Choice Questions for JEE Test: Indefinite Integration (Competition Level) - 2 (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Indefinite Integration (Competition Level) - 2 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Test: Indefinite Integration (Competition Level) - 2 exercise for a better result in the exam. You can find other Test: Indefinite Integration (Competition Level) - 2 extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

Solution:
QUESTION: 2

Solution:



QUESTION: 3

 is equal to 

Solution:
QUESTION: 4

Solution:

 

QUESTION: 5

Solution:

QUESTION: 6

  is equal to
Solution:


QUESTION: 7

 where 
Solution:

QUESTION: 8

The value of the integral 

Solution:

QUESTION: 9

  is equal to
Solution:
QUESTION: 10

 is equal to
Solution:
QUESTION: 11

 if 
Solution:
QUESTION: 12

 sin x log (sec x + tan x ) dx = f ( x ) + x + c then f (x ) =
Solution:

QUESTION: 13

The value of   equal to
Solution:

and using the formula 

QUESTION: 14

Solution:

QUESTION: 15

Solution:

QUESTION: 16

Solution:


QUESTION: 17

Solution:

QUESTION: 18

if   then
Solution:

QUESTION: 19

Solution:

QUESTION: 20

 if  A tan-1 x+ Btan-1 x/2+c, then B=
Solution:

QUESTION: 21

Atan-1 x +Btan-1 x/2+c ,then ( A,B )
Solution:


So, A = 1/3 & B = 1/3

QUESTION: 22

IF 

Solution:

Apply u−substitution: u = x+2

Apply the Sum Rule: 

∫f(x) ± g(x)dx = ∫f(x)dx ± ∫ g(x)dx

Substitute back u=x+2

Simplify


QUESTION: 23

 equal to
Solution:
QUESTION: 24

Solution:

Put x + 1=t3

QUESTION: 25

Solution:
QUESTION: 26

Solution:

QUESTION: 27

 equals
Solution:

QUESTION: 28

if 
Solution:

Put a 2 cos2 x + b2 sin 2 x= t

QUESTION: 29

Solution:

Put U = x, V = tax sec2 x

QUESTION: 30

Solution:

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