## 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.

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Ex 10.3 Class 12 RBSE Question 2.

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RBSE 12th Maths 10.3 Solution Question 3.

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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) = x^{5} cos^{2} x

Now f (-x) = (- x)^{5} cos^{2} (- x)

= – x^{5} cos^{2} 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.

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Exercise 10.3 Class 12 Question 8.

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Definite Integration Class 12 Pdf Question 9.

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Exercise 10.3 Class 12 Maths Question 10.

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

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10.3 Class 12 Question 12.

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Class 12 Maths 10.3 Solutions Question 13.

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Class 12 Math Ex 10.3 Question 14.

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Ex10.4 Class 12 Question 15.

Solution:

Where t = tan x and dt = sec^{2} 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.

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Class 12 Maths Ex 10.3 Question 18.

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Definite Integrals Class 12 Important Questions Question 19.

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10.3 Class 12 Maths Solutions Question 20.

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Class 12 Ex 10.3 Question 21.

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Ex 10.3 Class 12 RBSE Solutions Question 22.

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