JEE Exam  >  JEE Notes  >  Mathematics (Maths) Class 12  >  RD Sharma Class 12 Solutions - Indefinite Integrals - 2

RD Sharma Class 12 Solutions - Indefinite Integrals - 2 | Mathematics (Maths) Class 12 - JEE PDF Download

Download, print and study this document offline
Please wait while the PDF view is loading
 Page 1


4. Question
Evaluate the following integrals:
Answer
let 
Let  ……(i)
? dx = dt
so,
 [using (i)]
5. Question
Evaluate the following integrals:
Answer
We have,
= 
Sol, 
Let x+3 =t
Page 2


4. Question
Evaluate the following integrals:
Answer
let 
Let  ……(i)
? dx = dt
so,
 [using (i)]
5. Question
Evaluate the following integrals:
Answer
We have,
= 
Sol, 
Let x+3 =t
Then dx = dt
Exercise 19.16
1. Question
Evaluate the following integrals:
Answer
let 
Let tan x = t .....(i)
? dx = dt
so,
 [using (i)]
2. Question
Evaluate the following integrals:
Answer
: let 
Let  = t .....(i)
? dx = dt
so,
 [using(i)]
Page 3


4. Question
Evaluate the following integrals:
Answer
let 
Let  ……(i)
? dx = dt
so,
 [using (i)]
5. Question
Evaluate the following integrals:
Answer
We have,
= 
Sol, 
Let x+3 =t
Then dx = dt
Exercise 19.16
1. Question
Evaluate the following integrals:
Answer
let 
Let tan x = t .....(i)
? dx = dt
so,
 [using (i)]
2. Question
Evaluate the following integrals:
Answer
: let 
Let  = t .....(i)
? dx = dt
so,
 [using(i)]
3. Question
Evaluate the following integrals:
Answer
Let
Let sin x = t .....(i)
? cos x dx = dt
So, 
Again, let t + 2 = u …..(ii)
? dt = du
 [using(i),(ii)]
4. Question
Evaluate the following integrals:
Answer
let 
Let  = t .....(i)
? dx = dt
Let  .....(i)
Page 4


4. Question
Evaluate the following integrals:
Answer
let 
Let  ……(i)
? dx = dt
so,
 [using (i)]
5. Question
Evaluate the following integrals:
Answer
We have,
= 
Sol, 
Let x+3 =t
Then dx = dt
Exercise 19.16
1. Question
Evaluate the following integrals:
Answer
let 
Let tan x = t .....(i)
? dx = dt
so,
 [using (i)]
2. Question
Evaluate the following integrals:
Answer
: let 
Let  = t .....(i)
? dx = dt
so,
 [using(i)]
3. Question
Evaluate the following integrals:
Answer
Let
Let sin x = t .....(i)
? cos x dx = dt
So, 
Again, let t + 2 = u …..(ii)
? dt = du
 [using(i),(ii)]
4. Question
Evaluate the following integrals:
Answer
let 
Let  = t .....(i)
? dx = dt
Let  .....(i)
? dt = du
so,
 [using (i)]
 [using (ii)]
5. Question
Evaluate the following integrals:
Answer
let 
Let  = t .....(i)
? dx = dt
 [using (i)]
6. Question
Page 5


4. Question
Evaluate the following integrals:
Answer
let 
Let  ……(i)
? dx = dt
so,
 [using (i)]
5. Question
Evaluate the following integrals:
Answer
We have,
= 
Sol, 
Let x+3 =t
Then dx = dt
Exercise 19.16
1. Question
Evaluate the following integrals:
Answer
let 
Let tan x = t .....(i)
? dx = dt
so,
 [using (i)]
2. Question
Evaluate the following integrals:
Answer
: let 
Let  = t .....(i)
? dx = dt
so,
 [using(i)]
3. Question
Evaluate the following integrals:
Answer
Let
Let sin x = t .....(i)
? cos x dx = dt
So, 
Again, let t + 2 = u …..(ii)
? dt = du
 [using(i),(ii)]
4. Question
Evaluate the following integrals:
Answer
let 
Let  = t .....(i)
? dx = dt
Let  .....(i)
? dt = du
so,
 [using (i)]
 [using (ii)]
5. Question
Evaluate the following integrals:
Answer
let 
Let  = t .....(i)
? dx = dt
 [using (i)]
6. Question
Evaluate the following integrals:
Answer
let 
Let  = t .....(i)
? dx = dt
 [using (i)]
7. Question
Evaluate the following integrals:
Answer
Let 
Let  = t .....-----(i)
? 2x dx = dt
Put t + 1 = u .....-----(ii)
? dt = du
Read More
204 videos|290 docs|139 tests

Top Courses for JEE

204 videos|290 docs|139 tests
Download as PDF
Explore Courses for JEE exam

Top Courses for JEE

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

study material

,

practice quizzes

,

past year papers

,

Important questions

,

RD Sharma Class 12 Solutions - Indefinite Integrals - 2 | Mathematics (Maths) Class 12 - JEE

,

Extra Questions

,

ppt

,

mock tests for examination

,

Free

,

Semester Notes

,

Previous Year Questions with Solutions

,

video lectures

,

RD Sharma Class 12 Solutions - Indefinite Integrals - 2 | Mathematics (Maths) Class 12 - JEE

,

Sample Paper

,

RD Sharma Class 12 Solutions - Indefinite Integrals - 2 | Mathematics (Maths) Class 12 - JEE

,

Viva Questions

,

Exam

,

Objective type Questions

,

Summary

,

shortcuts and tricks

,

pdf

,

MCQs

;