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:

Ex 10.3 Class 12 RBSE Question 2.

Solution:

RBSE 12th Maths 10.3 Solution Question 3.

Solution:

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

RBSE Solutions For Class 12 Maths Chapter 10 Question 5.

Solution:

Here f (x) = x⁵ cos² x
Now f (-x) = (- x)⁵ cos² (- x)
= – x⁵ cos² x
= -f(x)
Thus, this is an odd function.

Ex 10.3 Class 12 Question 6.

Solution:

[∵ 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

Definite Integral Solution Question 7.

Solution:

Exercise 10.3 Class 12 Question 8.

Solution:

Definite Integration Class 12 Pdf Question 9.

Solution:

Exercise 10.3 Class 12 Maths Question 10.

Solution:

RBSE Solutions For Class 10 Maths Chapter 12 Miscellaneous Question 11.

Solution:

10.3 Class 12 Question 12.

Solution:

Class 12 Maths 10.3 Solutions Question 13.

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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.

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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.

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Ex 10.3 Class 12 RBSE Solutions Question 22.

Solution:

RBSE Solutions for Class 12 Maths