RBSE Solutions for Class 12 Maths Chapter 10 Definite Integral Miscellaneous Exercise

RBSE Solutions for Class 12 Maths Chapter 10 Definite Integral Miscellaneous Exercise

Rajasthan Board RBSE Class 12 Maths Chapter 10 Definite Integral Miscellaneous Exercise

Question 1.
The value

(a) 2 ∫^a₀ sin 3x.x dx
(b) 0
(c) a²
(d) 1
Solution:

Question 2.

(a) 3
(b) 2
(c) 3/2
(d) 1/2
Solution:

Question 3.

Solution:
Option (b) is correct

Question 4.
If A(x) = ∫⁰_x θ² dθ, then value of A(3) will be :
(a) 9
(b) 27
(c) 3
(d) 81
Solution:


Thus Option (a) is correct

Question 5.

Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Solution:

Question 15.

Solution:

and x = cot θ ∴ dx = – cosec² θ dθ
when x = 0, then θ = π/2
when x = ∞, then θ = 0

Question 16.

Solution:

Question 17.
Prove that

Solution:

 

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