RBSE Solutions for Class 12 Maths Chapter 10 Definite Integral Ex 10.3

Rajasthan Board RBSE Class 12 Maths Chapter 10 Definite Integral Ex 10.3

Find the value of the following integrals :

RBSE Solutions For Class 12 Maths Chapter 10.3 Question 1.

Solution:
RBSE Solutions For Class 12 Maths Chapter 10.3 Definite Integral

Ex 10.3 Class 12 RBSE Question 2.
Ex 10.3 Class 12 RBSE Definite Integral
Solution:
RBSE 12th Maths 10.3 Solution Definite Integral

RBSE 12th Maths 10.3 Solution Question 3.
RBSE Solutions For Class 12 Maths Chapter 10 Miscellaneous Definite Integral
Solution:
RBSE Solutions For Class 12 Maths Chapter 10 Definite Integral

RBSE Solutions For Class 12 Maths Chapter 10 Miscellaneous Question 4.
\(\int_{0}^{3}\) [x] dx, where [.] is greatest integer function.
Solution:
Ex 10.3 Class 12 Definite Integral

RBSE Solutions For Class 12 Maths Chapter 10 Question 5.

Definite Integral Solution Definite Integral
Solution:
Exercise 10.3 Class 12 Definite Integral
Here f (x) = x5 cos2 x
Now f (-x) = (- x)5 cos2 (- x)
= – x5 cos2 x
= -f(x)
Thus, this is an odd function.
Definite Integration Class 12 Pdf  RBSE

Ex 10.3 Class 12 Question 6.
Exercise 10.3 Class 12 Maths Definite Integral
Solution:
RBSE Solutions For Class 10 Maths Chapter 12 Miscellaneous Definite Integral
[∵ sin x is odd function and cos x is even function
∴ sin (- x) = – sin x
cos (- x) = cos x]
= -f (x)
Thus this is a odd function
10.3 Class 12 Definite Integral

Definite Integral Solution Question 7.
Class 12 Maths 10.3 Solutions Definite Integral
Solution:
Class 12 Math Ex 10.3 Definite Integral

Class 12 Maths Ex 10.3 Definite Integral

Exercise 10.3 Class 12 Question 8.
Definite Integrals Class 12 Important Questions Definite Integral
Solution:
10.3 Class 12 Maths Solutions Definite Integral

Definite Integration Class 12 Pdf Question 9.
Class 12 Ex 10.3 Definite Integral
Solution:

Ex 10.3 Class 12 RBSE Solutions Definite Integral

Ex 10.3 Class 10 Maths Definite Integral

Exercise 10.3 Class 12 Maths Question 10.
Example 10.3 Class 10 Science Definite Integral
Solution:
Exercise 10.3 Class 12 Maths RBSE Solutions Definite Integral

RBSE Solutions For Class 10 Maths Chapter 12 Miscellaneous Question 11.
Exercise 10.3 Class 6 Definite Integral
Solution:
RBSE Class 6 Maths Chapter 10 Exercise 10.3 Definite Integral

10.3 Class 12 Question 12.

Solution:

Class 12 Maths 10.3 Solutions Question 13.

Solution:

Class 12 Math Ex 10.3 Question 14.

Solution:

Ex10.4 Class 12 Question 15.

Solution:


Where t = tan x and dt = sec2 x dx
When x = 0, then
t = tan 0 = 0
When x = \(\frac { \pi }{ 4 } \),then t = tan \(\frac { \pi }{ 4 } \) = 1

RBSE Solutions For Class 6th Maths Exercise 10.3 Question 16.

Solution:



Class 6 Maths Chapter 10 Exercise 10.3 Question 17.

Solution:

Class 12 Maths Ex 10.3 Question 18.

Solution:

Definite Integrals Class 12 Important Questions Question 19.

Solution:


10.3 Class 12 Maths Solutions Question 20.

Solution:

Class 12 Ex 10.3 Question 21.

Solution:

Ex 10.3 Class 12 RBSE Solutions Question 22.

Solution:

RBSE Solutions for Class 12 Maths