RBSE Solutions for Class 12 Maths Integration Miscellaneous Exercise

Rajasthan Board RBSE Class 12 Maths Integration Miscellaneous Exercise

Integrate the following functions with respect to x :

12th Maths RBSE Solution Question 1.
[1+2 tan x (tan x + sec x)]
Solution:
∫ [1 + 2 tan x (tan x + sec x)] dx
= ∫ [1 + 2 tan² x + 2 tan x sec x] dx
= ∫ [2(1 + tan² x) + 2 sec x tan x -1] dx
= 2 ∫ (sec² x + sec x tan x) dx – ∫ dx
= 2(tan x + sec x) – x + C

RBSE Solutions 12 Maths Question 2.
e^x sin³ x
Solution:

RBSE Solutions For Class 12 Maths Question 3.
x² log (1 – x²)
Solution:

Class 12th Maths RBSE Solution Question 4.

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Question 5.

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Question 6.

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Question 7.

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Question 8.

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Question 9.

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Question 10.

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Question 11.

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Question 12.

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Question 13.

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Question 14.

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Question 15.

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Question 16.

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Question 17.

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Question 18.

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Question 19.

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Question 20.

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Question 21.

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Question 22.

(a) tan x + x + C
(b)cot x + x + C
(c) tan x – x + C
(d) cot x – x + C
Solution:


Hence correct option is (c).

Question 23.

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Question 24.

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Question 25.

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RBSE Solutions for Class 12 Maths