JEE Exam  >  JEE Tests  >  Mathematics (Maths) for JEE Main & Advanced  >  Test: Integrals- 2 - JEE MCQ

Test: Integrals- 2 - JEE MCQ


Test Description

25 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Test: Integrals- 2

Test: Integrals- 2 for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Test: Integrals- 2 questions and answers have been prepared according to the JEE exam syllabus.The Test: Integrals- 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Integrals- 2 below.
Solutions of Test: Integrals- 2 questions in English are available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Test: Integrals- 2 solutions in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Integrals- 2 | 25 questions in 25 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Integrals- 2 - Question 1

One value of ∫ f'(x) dx is 

Detailed Solution for Test: Integrals- 2 - Question 1

As (∫f'(x)dx) = f(x) + C, therefore, one value of (∫ f'(x) dx) is f(x)

Test: Integrals- 2 - Question 2

∫ log x dx is equal to 

Detailed Solution for Test: Integrals- 2 - Question 2

Test: Integrals- 2 - Question 3

Detailed Solution for Test: Integrals- 2 - Question 3


Test: Integrals- 2 - Question 4

Detailed Solution for Test: Integrals- 2 - Question 4

Test: Integrals- 2 - Question 5

Detailed Solution for Test: Integrals- 2 - Question 5


Test: Integrals- 2 - Question 6

if ∫ g(x) dx = g(x), then  is equal to 

Detailed Solution for Test: Integrals- 2 - Question 6

Test: Integrals- 2 - Question 7

If f (x) be a function such that 

Detailed Solution for Test: Integrals- 2 - Question 7

∫ log xdx = xlog x - x = x(log x -1)

 = x(log x - log e) = 

Test: Integrals- 2 - Question 8

Detailed Solution for Test: Integrals- 2 - Question 8


Test: Integrals- 2 - Question 9

Detailed Solution for Test: Integrals- 2 - Question 9

Dividing numerator and denominator by cos2x and substituting tanx = t , we get :

Test: Integrals- 2 - Question 10

Detailed Solution for Test: Integrals- 2 - Question 10

Test: Integrals- 2 - Question 11

∫ sec2 x cosec2 x dx is equal to 

Detailed Solution for Test: Integrals- 2 - Question 11

Test: Integrals- 2 - Question 12

Detailed Solution for Test: Integrals- 2 - Question 12

Test: Integrals- 2 - Question 13

Detailed Solution for Test: Integrals- 2 - Question 13

Test: Integrals- 2 - Question 14

Detailed Solution for Test: Integrals- 2 - Question 14

Test: Integrals- 2 - Question 15

Detailed Solution for Test: Integrals- 2 - Question 15

Note that sin9x is an odd function, therefore, 

Test: Integrals- 2 - Question 16

Detailed Solution for Test: Integrals- 2 - Question 16

Test: Integrals- 2 - Question 17

Detailed Solution for Test: Integrals- 2 - Question 17

∫ log(1-x) dx - ∫ log x dx = 0

Test: Integrals- 2 - Question 18

Detailed Solution for Test: Integrals- 2 - Question 18

Test: Integrals- 2 - Question 19

Detailed Solution for Test: Integrals- 2 - Question 19

Test: Integrals- 2 - Question 20

Detailed Solution for Test: Integrals- 2 - Question 20

Test: Integrals- 2 - Question 21

∫ (tan x + cot x) dx is equal to 

Detailed Solution for Test: Integrals- 2 - Question 21

Correct Answer :- c

Explanation : ∫(tanx + cotx)dx

= ∫tanxdx + ∫cotxdx

= ∫sinx/cosx dx + ∫cosx/sinx dx

I1 = sinx/cosx

Put t = cosx

dt = -sinx dx

I2 = cosx/sinx

Put t = sinx

dt = cosx dx

So, we get

=> ∫-dt/t + ∫dt/t

=> - ln t + ln t + c

=> -ln cosx + ln sinx + c

=> log (sinx/cosx) + c

=> log(tanx)

Test: Integrals- 2 - Question 22

 ∫ log(log x) + (log x)-1) dx is equal to 

Detailed Solution for Test: Integrals- 2 - Question 22


Test: Integrals- 2 - Question 23

Detailed Solution for Test: Integrals- 2 - Question 23

Test: Integrals- 2 - Question 24

Detailed Solution for Test: Integrals- 2 - Question 24




Test: Integrals- 2 - Question 25

Detailed Solution for Test: Integrals- 2 - Question 25


209 videos|443 docs|143 tests
Information about Test: Integrals- 2 Page
In this test you can find the Exam questions for Test: Integrals- 2 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Integrals- 2, EduRev gives you an ample number of Online tests for practice

Up next

Download as PDF

Up next

Download the FREE EduRev App
Track your progress, build streaks, highlight & save important lessons and more!