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 \(\int_{0}^{a}\) sin 3x.x dx
(b) 0
(c) a²
(d) 1
Solution:

Question 2.

(a) 3
(b) 2
(c) \(\frac { 3 }{ 2 } \)
(d) \(\frac { 1 }{ 2 } \)
Solution:

Question 3.

Solution:
Option (b) is correct

Question 4.
If A(x) = \(\int_{x}^{0}\) 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 = \(\frac { \pi }{ 2 } \)
when x = ∞, then θ = 0

Question 16.

Solution:

Question 17.
Prove that

Solution:

RBSE Solutions for Class 12 Maths