RBSE Solutions for Class 12 Maths Integration Miscellaneous Exercise
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.
ex sin3 x
Solution:
RBSE Solutions For Class 12 Maths Question 3.
x2 log (1 – x2)
Solution:
Class 12th Maths RBSE Solution Question 4.
Solution:
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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