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Test: Integration By Substitution - JEE MCQ


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5 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Test: Integration By Substitution

Test: Integration By Substitution for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Test: Integration By Substitution questions and answers have been prepared according to the JEE exam syllabus.The Test: Integration By Substitution MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Integration By Substitution below.
Solutions of Test: Integration By Substitution questions in English are available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Test: Integration By Substitution solutions in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Integration By Substitution | 5 questions in 10 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
Test: Integration By Substitution - Question 1
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Detailed Solution for Test: Integration By Substitution - Question 1

cos(sin-1x)/(1-x2)½……………….(1)
t = sin-1 x
dt = dx/(1-x2)½
Put the value of dt in eq(1)
= ∫cost dt
= sint + c
= sin(sin-1 x) + c
⇒ x + c

Test: Integration By Substitution - Question 2
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Integral of sin5x.cos2x is: 

Detailed Solution for Test: Integration By Substitution - Question 2

So Looking at this integral, we have



 

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Test: Integration By Substitution - Question 3
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Evaluate: 

Detailed Solution for Test: Integration By Substitution - Question 3

xex = t
(xex + ex) dx = dt
= ex(x + 1) dx = dt
= ∫dt/sin2t
= ∫cosec2t dt
= -cot(xex) + c

Test: Integration By Substitution - Question 4
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Evaluate: 

Detailed Solution for Test: Integration By Substitution - Question 4

Create ((X+B) + (A-B)) in numerator and then apply Sin(a+b) formula then you will be able to solve it.

Test: Integration By Substitution - Question 5
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Find the distance travelled by a car moving with acceleration given by a(t)=t2 + t, if it moves from t = 0 sec to t = 10 sec, if velocity of a car at t = 0sec is 40 km/hr.
Detailed Solution for Test: Integration By Substitution - Question 5



 

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