• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • RBSE Model Papers
    • RBSE Class 12th Board Model Papers 2022
    • RBSE Class 10th Board Model Papers 2022
    • RBSE Class 8th Board Model Papers 2022
    • RBSE Class 5th Board Model Papers 2022
  • RBSE Books
  • RBSE Solutions for Class 10
    • RBSE Solutions for Class 10 Maths
    • RBSE Solutions for Class 10 Science
    • RBSE Solutions for Class 10 Social Science
    • RBSE Solutions for Class 10 English First Flight & Footprints without Feet
    • RBSE Solutions for Class 10 Hindi
    • RBSE Solutions for Class 10 Sanskrit
    • RBSE Solutions for Class 10 Rajasthan Adhyayan
    • RBSE Solutions for Class 10 Physical Education
  • RBSE Solutions for Class 9
    • RBSE Solutions for Class 9 Maths
    • RBSE Solutions for Class 9 Science
    • RBSE Solutions for Class 9 Social Science
    • RBSE Solutions for Class 9 English
    • RBSE Solutions for Class 9 Hindi
    • RBSE Solutions for Class 9 Sanskrit
    • RBSE Solutions for Class 9 Rajasthan Adhyayan
    • RBSE Solutions for Class 9 Physical Education
    • RBSE Solutions for Class 9 Information Technology
  • RBSE Solutions for Class 8
    • RBSE Solutions for Class 8 Maths
    • RBSE Solutions for Class 8 Science
    • RBSE Solutions for Class 8 Social Science
    • RBSE Solutions for Class 8 English
    • RBSE Solutions for Class 8 Hindi
    • RBSE Solutions for Class 8 Sanskrit
    • RBSE Solutions

RBSE Solutions

Rajasthan Board Textbook Solutions for Class 5, 6, 7, 8, 9, 10, 11 and 12

  • RBSE Solutions for Class 7
    • RBSE Solutions for Class 7 Maths
    • RBSE Solutions for Class 7 Science
    • RBSE Solutions for Class 7 Social Science
    • RBSE Solutions for Class 7 English
    • RBSE Solutions for Class 7 Hindi
    • RBSE Solutions for Class 7 Sanskrit
  • RBSE Solutions for Class 6
    • RBSE Solutions for Class 6 Maths
    • RBSE Solutions for Class 6 Science
    • RBSE Solutions for Class 6 Social Science
    • RBSE Solutions for Class 6 English
    • RBSE Solutions for Class 6 Hindi
    • RBSE Solutions for Class 6 Sanskrit
  • RBSE Solutions for Class 5
    • RBSE Solutions for Class 5 Maths
    • RBSE Solutions for Class 5 Environmental Studies
    • RBSE Solutions for Class 5 English
    • RBSE Solutions for Class 5 Hindi
  • RBSE Solutions Class 12
    • RBSE Solutions for Class 12 Maths
    • RBSE Solutions for Class 12 Physics
    • RBSE Solutions for Class 12 Chemistry
    • RBSE Solutions for Class 12 Biology
    • RBSE Solutions for Class 12 English
    • RBSE Solutions for Class 12 Hindi
    • RBSE Solutions for Class 12 Sanskrit
  • RBSE Class 11

RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

May 20, 2019 by Fazal Leave a Comment

Rajasthan Board RBSE Class 12 Maths Chapter 9 Integration Ex 9.1

Question 1.
Integrate the following with respect to x :
(a) 3 \(x\sqrt { { x }^{ 2 } } \)
(b) e3x
(c) (\(\frac { 1 }{ 2 } \))x
(d) a2 loga x
Solution:
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Find the value of the integrates given below :

Question 2.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution:
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 3.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution:
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 4.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution:
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 5.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution:
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 6.
∫ax da
Solution:

RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 7.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution:
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 8.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution:
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 9.
∫sec x (sec x + tan x) dx
Solution:
∫sec x (sec x + tan x) dx
= ∫sec2 x dx + ∫sec x tan x dx
= tan x + sec x + C

Question 10.
∫(sin-1 x + cos-1 x) dx
Solution :
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 11.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution :
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 12.
∫ tan2 x dx
Solution :
∫ tan2 x dx = ∫ (sec2 x – 1) dx
= ∫ sec2 x – ∫ dx
= tan x – x + C

Question 13.
∫ cot2 x dx
Solution :
∫ (cosec2 x – 1) dx
= ∫ cosec2 x dx – ∫dx
= – cot x – x + C

Question 14.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution :
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 15.
∫ (tan2 x – cot2 x) dx
Solution :
∫ (tan2 x – cot2 x) dx
= ∫ (sec2 x -1 – cosec2 x +1) dx
= ∫ sec2 x dx – ∫ cosec2 x dx
= tan x + cot x + C

Question 16.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution :
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 17.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution :
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 18.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution :
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 19.
∫ cot x (tan x – cosec x) dx
Solution :
∫ cot x (tan x – cosec x) dx
= ∫ cot x tan x dx – ∫ cot x cosec x dx
= ∫ 1 dx – ∫ cosec x cot x dx
= x + cosec x + C

Question 20.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution :
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 21.
∫ logx x dx
Solution :
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 22.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution :
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 23.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution :
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

Question 24.
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1
Solution :
RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

RBSE Solutions for Class 12 Maths

Share this:

  • Click to share on WhatsApp (Opens in new window)
  • Click to share on Twitter (Opens in new window)
  • Click to share on Facebook (Opens in new window)

Related

Filed Under: Class 12

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Rajasthan Board Questions and Answers

Recent Posts

  • RBSE Solutions for Class 11 Drawing in Hindi Medium & English Medium
  • RBSE Solutions for Class 11 Hindi Sahitya कक्षा 11 हिंदी साहित्य अन्तरा, अन्तराल
  • RBSE Solutions for Class 11 English Literature Woven Words, Julius Caesar & The Guide
  • RBSE Solutions for Class 11 English Compulsory (English Course) Hornbill & Snapshots
  • RBSE Solutions for Class 11 Geography in Hindi Medium & English Medium
  • RBSE Solutions for Class 12 Accountancy in Hindi Medium & English Medium
  • RBSE Solutions for Class 11 Home Science in Hindi Medium & English Medium
  • RBSE Solutions for Class 8 Our Rajasthan in Hindi Medium & English Medium
  • RBSE Solutions for Class 7 Our Rajasthan in Hindi Medium & English Medium
  • RBSE Solutions for Class 6 Our Rajasthan in Hindi Medium & English Medium
  • RBSE Solutions for Class 11 History in Hindi Medium & English Medium

Footer

RBSE Solutions for Class 12
RBSE Solutions for Class 11
RBSE Solutions for Class 10
RBSE Solutions for Class 9
RBSE Solutions for Class 8
RBSE Solutions for Class 7
RBSE Solutions for Class 6
RBSE Solutions for Class 5
RBSE Solutions for Class 12 Maths
RBSE Solutions for Class 11 Maths
RBSE Solutions for Class 10 Maths
RBSE Solutions for Class 9 Maths
RBSE Solutions for Class 8 Maths
RBSE Solutions for Class 7 Maths
RBSE Solutions for Class 6 Maths
RBSE Solutions for Class 5 Maths
Target Batch
RBSE Class 11 Political Science Notes
RBSE Class 11 Geography Notes
RBSE Class 11 History Notes

Copyright © 2022 RBSE Solutions

 

Loading Comments...