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Mathematics Exam  >  Mathematics Tests  >  Topic-wise Tests & Solved Examples for Mathematics  >  Integral Calculus -2 - Mathematics MCQ

Integral Calculus -2 - Mathematics MCQ


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20 Questions MCQ Test Topic-wise Tests & Solved Examples for Mathematics - Integral Calculus -2

Integral Calculus -2 for Mathematics 2024 is part of Topic-wise Tests & Solved Examples for Mathematics preparation. The Integral Calculus -2 questions and answers have been prepared according to the Mathematics exam syllabus.The Integral Calculus -2 MCQs are made for Mathematics 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 Topic-wise Tests & Solved Examples for Mathematics for Mathematics & Integral Calculus -2 solutions in Hindi for Topic-wise Tests & Solved Examples for Mathematics course. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free. Attempt Integral Calculus -2 | 20 questions in 60 minutes | Mock test for Mathematics preparation | Free important questions MCQ to study Topic-wise Tests & Solved Examples for Mathematics for Mathematics 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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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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