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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.
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Integral Calculus -2 - Question 1

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

The value of 

Detailed Solution for Integral Calculus -2 - Question 2

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Integral Calculus -2 - Question 3

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

Detailed Solution for Integral Calculus -2 - Question 4

Integral Calculus -2 - Question 5

 mπ, then the value of m is: 

Detailed Solution for Integral Calculus -2 - Question 5

Given that


Hence 

Integral Calculus -2 - Question 6

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

The value of 

Detailed Solution for Integral Calculus -2 - Question 7


Integral Calculus -2 - Question 8

 x dx is equal to:

Detailed Solution for Integral Calculus -2 - Question 8

Integral Calculus -2 - Question 9

Detailed Solution for Integral Calculus -2 - Question 9



Integral Calculus -2 - Question 10

Detailed Solution for Integral Calculus -2 - Question 10



Integral Calculus -2 - Question 11

 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

 = where [ ] represents greatest integer: 

Detailed Solution for Integral Calculus -2 - Question 12



Integral Calculus -2 - Question 13

The value of 

Detailed Solution for Integral Calculus -2 - Question 13


Integral Calculus -2 - Question 14

Detailed Solution for Integral Calculus -2 - Question 14



Integral Calculus -2 - Question 15

 dt, then the derivative of f(x) with respect to x is:

Detailed Solution for Integral Calculus -2 - Question 15





Integral Calculus -2 - Question 16

Detailed Solution for Integral Calculus -2 - Question 16

Given that

Hence 

Integral Calculus -2 - Question 17

The value of 

Detailed Solution for Integral Calculus -2 - Question 17


Integral Calculus -2 - Question 18

 is equal to

Detailed Solution for Integral Calculus -2 - Question 18


Integral Calculus -2 - Question 19

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

 x dx is equal to:

Detailed Solution for Integral Calculus -2 - Question 20


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