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.
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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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