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JEE Advanced Level Test: Definite Integral- 1 - JEE MCQ


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30 Questions MCQ Test Chapter-wise Tests for JEE Main & Advanced - JEE Advanced Level Test: Definite Integral- 1

JEE Advanced Level Test: Definite Integral- 1 for JEE 2024 is part of Chapter-wise Tests for JEE Main & Advanced preparation. The JEE Advanced Level Test: Definite Integral- 1 questions and answers have been prepared according to the JEE exam syllabus.The JEE Advanced Level Test: Definite Integral- 1 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Advanced Level Test: Definite Integral- 1 below.
Solutions of JEE Advanced Level Test: Definite Integral- 1 questions in English are available as part of our Chapter-wise Tests for JEE Main & Advanced for JEE & JEE Advanced Level Test: Definite Integral- 1 solutions in Hindi for Chapter-wise Tests for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt JEE Advanced Level Test: Definite Integral- 1 | 30 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study Chapter-wise Tests for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
JEE Advanced Level Test: Definite Integral- 1 - Question 1
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Given 

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 if then 

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Even  function 

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use 

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JEE Advanced Level Test: Definite Integral- 1 - Question 7
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Period of |sinx| is π
Therefore, the integration becomes


= (-9) *(-1)*( [cosx]x=2π – [cosx]x=π)
= 9 * (1 – (-1))
= 18

JEE Advanced Level Test: Definite Integral- 1 - Question 8
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In dy, what is ‘a’ called as?
Detailed Solution for JEE Advanced Level Test: Definite Integral- 1 - Question 8

In dy ‘a’ is the called as lower limit and ‘b’ is called the upper limit of the integral. The function f in is called the integrand. The letter ‘y’ is a dummy symbol and can be replaced by any other symbol.

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if    ​from
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If 

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use 

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JEE Advanced Level Test: Definite Integral- 1 - Question 13
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If 0 < a < c, 0 < b < c then 

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Put x4 =t

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If 

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Sin x = t

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Split into two integrals

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Put 1/x= t

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Log x = t

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If   and 

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Given function is odd

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x11 cos x is an odd function.

JEE Advanced Level Test: Definite Integral- 1 - Question 27
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The function  is
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Solution we know that if f(t) is an odd function the  dt is given integral since   is odd, the given integral is even

JEE Advanced Level Test: Definite Integral- 1 - Question 28
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Value of 

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Given 

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use formula 

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Using 

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