Competition Level Test: Indefinite Integration- 2


30 Questions MCQ Test Mathematics For JEE | Competition Level Test: Indefinite Integration- 2


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Attempt Competition Level Test: Indefinite Integration- 2 | 30 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics For JEE for JEE Exam | Download free PDF with solutions
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

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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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