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# Competition Level Test: Indefinite Integration- 2

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

Description
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
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QUESTION: 3

### is equal to

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QUESTION: 4

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QUESTION: 5

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QUESTION: 6

is equal to

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QUESTION: 7

where

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QUESTION: 8

The value of the integral

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QUESTION: 9

is equal to

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QUESTION: 10

is equal to

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QUESTION: 11

if

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QUESTION: 12

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

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QUESTION: 13

The value of   equal to

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and using the formula

QUESTION: 14

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QUESTION: 15

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QUESTION: 16

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QUESTION: 17

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QUESTION: 18

if   then

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QUESTION: 19

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QUESTION: 20

if  A tan-1 x+ Btan-1 x/2+c, then B=

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QUESTION: 21

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

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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

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QUESTION: 24

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Put x + 1=t3

QUESTION: 25

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QUESTION: 26

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QUESTION: 27

equals

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QUESTION: 28

if

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

QUESTION: 29

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Put U = x, V = tax sec2 x

QUESTION: 30

Solution:

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