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Test: Integration By Substitution - JEE MCQ


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5 Questions MCQ Test Mathematics (Maths) Class 12 - Test: Integration By Substitution

Test: Integration By Substitution for JEE 2024 is part of Mathematics (Maths) Class 12 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) Class 12 for JEE & Test: Integration By Substitution solutions in Hindi for Mathematics (Maths) Class 12 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) Class 12 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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