# RBSE Solutions for Class 12 Maths Chapter 9 Integration Ex 9.1

## Rajasthan Board RBSE Class 12 Maths Chapter 9 Integration Ex 9.1

RBSE Solutions For Class 12 Maths Chapter 9 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:  Find the value of the integrates given below :

RBSE Solutions For Class 12 Maths Chapter 9.1 Question 2. Solution: RBSE Class 12 Maths Chapter 9 Solution Question 3. Solution: Ex 9.1 Class 12 RBSE Question 4. Solution: RBSE Solution Class 12 Maths Chapter 9 Question 5. Solution: RBSE Solutions For Class 12 Maths Chapter 9 Miscellaneous Question 6.
∫ax da
Solution: Question 7. Solution: RBSE Solutions For Class 12 Maths Chapter 9.1 Question 8. Solution: RBSE Solutions For Class 10 Maths Chapter 9 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 : Chapter 9 Maths Class 10 RBSE Solutions Question 11. Solution : RBSE Solutions For Class 12 Maths Chapter 9 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

Ex 9.1 Class 12 Question 14. Solution : Exercise 9.1 Class 12 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. Solution :  RBSE Solutions For Class 10 Maths Chapter 9.1 Question 17. Solution : RBSE Class 7 Maths Ex 9.1 Solution Question 18. Solution : RBSE Class 12 Maths Solutions 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

RBSE Math Solution Class 12 Question 20. Solution :  RBSE Solutions For Class 12th Maths Question 21.
∫ logx x dx
Solution : Question 22. Solution : Class 12 Maths Ex 9.1 Question 23. Solution : Exercise 9.1 Class 12 Maths Question 24. Solution : 