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Integral Calculus -1 - IIT JAM MCQ


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20 Questions MCQ Test - Integral Calculus -1

Integral Calculus -1 for IIT JAM 2024 is part of IIT JAM preparation. The Integral Calculus -1 questions and answers have been prepared according to the IIT JAM exam syllabus.The Integral Calculus -1 MCQs are made for IIT JAM 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Integral Calculus -1 below.
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Integral Calculus -1 - Question 1

 is equal to

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Integral Calculus -1 - Question 2

Detailed Solution for Integral Calculus -1 - Question 2


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Integral Calculus -1 - Question 3

x sec2 (x2 +1) tan (x2 +1) dx is equal to

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Integral Calculus -1 - Question 4

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Integral Calculus -1 - Question 5

Detailed Solution for Integral Calculus -1 - Question 5



Integral Calculus -1 - Question 6

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Integral Calculus -1 - Question 7

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Integral Calculus -1 - Question 8

Detailed Solution for Integral Calculus -1 - Question 8

Let us assume that 

Therefor

Integral Calculus -1 - Question 9

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Integral Calculus -1 - Question 10

The value of 

Detailed Solution for Integral Calculus -1 - Question 10


Integral Calculus -1 - Question 11

sec x(1 + tan x) dx is equal to

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Integral Calculus -1 - Question 12

Detailed Solution for Integral Calculus -1 - Question 12



Integral Calculus -1 - Question 13

As n —> ∞ the expression
  
is equal to 

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Integral Calculus -1 - Question 14

The value of 

Detailed Solution for Integral Calculus -1 - Question 14



Put sin x = t
=> cos x dx = dt

Integral Calculus -1 - Question 15

 log tan xdx is equal to:

Detailed Solution for Integral Calculus -1 - Question 15

 ... (i)

  ... (ii)
Adding (i) and (ii), we get

Hence,

Integral Calculus -1 - Question 16

 is equal to

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Integral Calculus -1 - Question 17

 = K, then the value of 

Integral Calculus -1 - Question 18

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Integral Calculus -1 - Question 19

Using the definition of integration as a process of summation 

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Integral Calculus -1 - Question 20

 x dx is equal to

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