Integral Calculus -6


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20 Questions MCQ Test Topic-wise Tests & Solved Examples for IIT JAM Mathematics | Integral Calculus -6

Integral Calculus -6 for Mathematics 2022 is part of Topic-wise Tests & Solved Examples for IIT JAM Mathematics preparation. The Integral Calculus -6 questions and answers have been prepared according to the Mathematics exam syllabus.The Integral Calculus -6 MCQs are made for Mathematics 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Integral Calculus -6 below.
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Integral Calculus -6 - Question 1

If a function f is continuous for x ≥ 0 and satisfies  then the value of f ' (π/4) is:

Integral Calculus -6 - Question 2

 is equal to: 

Detailed Solution for Integral Calculus -6 - Question 2


Integral Calculus -6 - Question 3

 is equal to:

Detailed Solution for Integral Calculus -6 - Question 3

Integral Calculus -6 - Question 4

Detailed Solution for Integral Calculus -6 - Question 4


When x = 0, t = 1, when x = 1, t = 0
Hence 

Integral Calculus -6 - Question 5

The value of 

Detailed Solution for Integral Calculus -6 - Question 5

Let 

Integral Calculus -6 - Question 6

then the value of  un-2 is:

Detailed Solution for Integral Calculus -6 - Question 6




Integral Calculus -6 - Question 7

The value of 

Detailed Solution for Integral Calculus -6 - Question 7

Integral Calculus -6 - Question 8

Detailed Solution for Integral Calculus -6 - Question 8


Integral Calculus -6 - Question 9

The value of c > 0 for which 

Detailed Solution for Integral Calculus -6 - Question 9



Integral Calculus -6 - Question 10

The value of 

Detailed Solution for Integral Calculus -6 - Question 10



Integral Calculus -6 - Question 11

Detailed Solution for Integral Calculus -6 - Question 11

   ...(i)

Integral Calculus -6 - Question 12

The length of arc of the curve y = x, between the points x = -1 and x = 1 is given by:

Detailed Solution for Integral Calculus -6 - Question 12


Integral Calculus -6 - Question 13

Detailed Solution for Integral Calculus -6 - Question 13



Integral Calculus -6 - Question 14

The value of  ,(n > 1 and integer) is

Detailed Solution for Integral Calculus -6 - Question 14

When n = 2, then

When n = 3, then

Integral Calculus -6 - Question 15

Detailed Solution for Integral Calculus -6 - Question 15





Integral Calculus -6 - Question 16

 then f(3) + f(1) equals:

Detailed Solution for Integral Calculus -6 - Question 16



Integral Calculus -6 - Question 17

Detailed Solution for Integral Calculus -6 - Question 17


Integral Calculus -6 - Question 18

 is given by:

Detailed Solution for Integral Calculus -6 - Question 18





Integral Calculus -6 - Question 19

The value of the integral 

Detailed Solution for Integral Calculus -6 - Question 19




Integral Calculus -6 - Question 20

 is equal to:

Detailed Solution for Integral Calculus -6 - Question 20

we have


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