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IIT JAM Exam  >  IIT JAM Tests  >  Integral Calculus -2 - IIT JAM MCQ

Integral Calculus -2 - IIT JAM MCQ


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20 Questions MCQ Test - Integral Calculus -2

Integral Calculus -2 for IIT JAM 2024 is part of IIT JAM preparation. The Integral Calculus -2 questions and answers have been prepared according to the IIT JAM exam syllabus.The Integral Calculus -2 MCQs are made for IIT JAM 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Integral Calculus -2 below.
Solutions of Integral Calculus -2 questions in English are available as part of our course for IIT JAM & Integral Calculus -2 solutions in Hindi for IIT JAM course. Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free. Attempt Integral Calculus -2 | 20 questions in 60 minutes | Mock test for IIT JAM preparation | Free important questions MCQ to study for IIT JAM Exam | Download free PDF with solutions
Integral Calculus -2 - Question 1
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Detailed Solution for Integral Calculus -2 - Question 1

  ...(i)

   ....(ii)
Adding (i) and (ii), we get
2l=0
implies 1 = 0

Integral Calculus -2 - Question 2
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The value of 

Detailed Solution for Integral Calculus -2 - Question 2

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Integral Calculus -2 - Question 3
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The value of is equal to

Detailed Solution for Integral Calculus -2 - Question 3

Here f(t) = t3 is continuous function, so from by fundamental theorem of calculus (If f is constinuous on an interval, then f has an anti-derivative on that interval)

Integral Calculus -2 - Question 4
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Detailed Solution for Integral Calculus -2 - Question 4

Integral Calculus -2 - Question 5
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 mπ, then the value of m is: 
Detailed Solution for Integral Calculus -2 - Question 5

Given that


Hence 

Integral Calculus -2 - Question 6
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The value of the integral | sin x | dx is equal to:
Detailed Solution for Integral Calculus -2 - Question 6


[Since sin x is periodic with period π]

Integral Calculus -2 - Question 7
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The value of 
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Integral Calculus -2 - Question 8
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 x dx is equal to:
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Integral Calculus -2 - Question 9
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Integral Calculus -2 - Question 10
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Detailed Solution for Integral Calculus -2 - Question 10



Integral Calculus -2 - Question 11
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 xF(sin X) dx is equal to
Detailed Solution for Integral Calculus -2 - Question 11

   ...(i)

  ...(ii)
Adding (i) and (ii), we get

Hence 

Integral Calculus -2 - Question 12
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 = where [ ] represents greatest integer: 
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Integral Calculus -2 - Question 13
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The value of 
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Integral Calculus -2 - Question 14
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Integral Calculus -2 - Question 15
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 dt, then the derivative of f(x) with respect to x is:
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Integral Calculus -2 - Question 16
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Detailed Solution for Integral Calculus -2 - Question 16

Given that

Hence 

Integral Calculus -2 - Question 17
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The value of 
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Integral Calculus -2 - Question 18
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 is equal to
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Integral Calculus -2 - Question 19
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If f(x) is the integral of , x ≠ 0, then 
Detailed Solution for Integral Calculus -2 - Question 19

We have 

Integral Calculus -2 - Question 20
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 x dx is equal to:
Detailed Solution for Integral Calculus -2 - Question 20


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Important Questions for Integral Calculus -2

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Integral Calculus -2 MCQs with Answers

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