JEE Exam  >  JEE Tests  >  Chapter-wise Tests for JEE Main & Advanced  >  JEE Advanced Level Test: Indefinite Integration- 2 - JEE MCQ

JEE Advanced Level Test: Indefinite Integration- 2 - JEE MCQ


Test Description

30 Questions MCQ Test Chapter-wise Tests for JEE Main & Advanced - JEE Advanced Level Test: Indefinite Integration- 2

JEE Advanced Level Test: Indefinite Integration- 2 for JEE 2024 is part of Chapter-wise Tests for JEE Main & Advanced preparation. The JEE Advanced Level Test: Indefinite Integration- 2 questions and answers have been prepared according to the JEE exam syllabus.The JEE Advanced Level Test: Indefinite Integration- 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Advanced Level Test: Indefinite Integration- 2 below.
Solutions of JEE Advanced Level Test: Indefinite Integration- 2 questions in English are available as part of our Chapter-wise Tests for JEE Main & Advanced for JEE & JEE Advanced Level Test: Indefinite Integration- 2 solutions in Hindi for Chapter-wise Tests for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt JEE Advanced Level Test: Indefinite Integration- 2 | 30 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study Chapter-wise Tests for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
JEE Advanced Level Test: Indefinite Integration- 2 - Question 1

JEE Advanced Level Test: Indefinite Integration- 2 - Question 2

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 2



1 Crore+ students have signed up on EduRev. Have you? Download the App
JEE Advanced Level Test: Indefinite Integration- 2 - Question 3

 is equal to 

JEE Advanced Level Test: Indefinite Integration- 2 - Question 4

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 4

 

JEE Advanced Level Test: Indefinite Integration- 2 - Question 5

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 5

JEE Advanced Level Test: Indefinite Integration- 2 - Question 6

  is equal to

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 6


JEE Advanced Level Test: Indefinite Integration- 2 - Question 7

 where 

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 7

JEE Advanced Level Test: Indefinite Integration- 2 - Question 8

The value of the integral 

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 8

JEE Advanced Level Test: Indefinite Integration- 2 - Question 9

  is equal to

JEE Advanced Level Test: Indefinite Integration- 2 - Question 10

 is equal to

JEE Advanced Level Test: Indefinite Integration- 2 - Question 11

 if 

JEE Advanced Level Test: Indefinite Integration- 2 - Question 12

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

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 12

JEE Advanced Level Test: Indefinite Integration- 2 - Question 13

The value of   equal to

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 13

and using the formula 

JEE Advanced Level Test: Indefinite Integration- 2 - Question 14

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 14

JEE Advanced Level Test: Indefinite Integration- 2 - Question 15

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 15

JEE Advanced Level Test: Indefinite Integration- 2 - Question 16

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 16


JEE Advanced Level Test: Indefinite Integration- 2 - Question 17

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 17

JEE Advanced Level Test: Indefinite Integration- 2 - Question 18

if   then

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 18

JEE Advanced Level Test: Indefinite Integration- 2 - Question 19

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 19

JEE Advanced Level Test: Indefinite Integration- 2 - Question 20

 if  A tan-1 x+ Btan-1 x/2+c, then B=

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 20

JEE Advanced Level Test: Indefinite Integration- 2 - Question 21

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

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 21


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

JEE Advanced Level Test: Indefinite Integration- 2 - Question 22

IF 

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 22

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


JEE Advanced Level Test: Indefinite Integration- 2 - Question 23

 equal to

JEE Advanced Level Test: Indefinite Integration- 2 - Question 24

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 24

Put x + 1=t3

JEE Advanced Level Test: Indefinite Integration- 2 - Question 25

JEE Advanced Level Test: Indefinite Integration- 2 - Question 26

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 26

JEE Advanced Level Test: Indefinite Integration- 2 - Question 27

 equals

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 27

JEE Advanced Level Test: Indefinite Integration- 2 - Question 28

if 

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 28

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

JEE Advanced Level Test: Indefinite Integration- 2 - Question 29

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 29

Put U = x, V = tax sec2 x

JEE Advanced Level Test: Indefinite Integration- 2 - Question 30

Detailed Solution for JEE Advanced Level Test: Indefinite Integration- 2 - Question 30

447 docs|930 tests
Information about JEE Advanced Level Test: Indefinite Integration- 2 Page
In this test you can find the Exam questions for JEE Advanced Level Test: Indefinite Integration- 2 solved & explained in the simplest way possible. Besides giving Questions and answers for JEE Advanced Level Test: Indefinite Integration- 2, EduRev gives you an ample number of Online tests for practice

Up next

Download as PDF

Up next