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NCERT Solutions for class 12 Maths | Chapter 7 - Integrals

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Free download in PDF Class 12 Maths Chapter 7 Integrals Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>

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(1) ∫ |x| dx is equal to
[A] 1/2 x² + C
[B] –x2/2 + C
[C] x|x| + C
[D] 1/2 x|x| + C
Answer: 1/2 x|x| + C
(2) Evaluate:
[A] log|sec x + tan x| – 2 tan(x/2) + C
[B] log|sec x – tan x| – 2 tan(x/2) + C
[C] log|sec x + tan x| + 2 tan(x/2) + C
[D] None of these
Answer: log|sec x + tan x| – 2 tan(x/2) + C

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(3)
[A] a log |tan-1 x| + C
[B] 1/2(tan-1 x)² + C
[C] a log (1 + x2) + C
[D] None of these
Answer: a log |tan-1 x| + C
(4) Evaluate: ∫ sec4/3 x cosec8/3 xdx
[A] 3/5 tan-5/3 x – 3 tan1/3 x + C
[B] –3/5 tan-5/3 x + 3 tan1/3 + C
[C] –3/5 tan-05/3 x – 3 tan1/3 + C
[D] inversely proportional to the surface area
Answer: None of these
(5) Evaluate: ∫(2 tan x – 3 cot x)² dx
[A] -4tan x – cot x – 25x + C
[B] 4 tan x – 9 cot x – 25x + C
[C] – 4 tan x + 9 cot x + 25x + C
[D] 4 tan x + 9 cot x + 25x + C
Answer: 4 tan x – 9 cot x – 25x + C
(6) dx is equal to
[A] 1
[B] 2
[C] 3
[D] 4
Answer: 4
(7) is equal to
[A]
[B]
[C]
[D]
Answer:
(8) ∫tan-1 √xdx is equal to
[A] (x + 1)tan-1 √x – √x + C
[B] x tan-1 √x – √x + C
[C] √x – x tan-1 √x + C
[D] √x – (x + 1)tan-1 √x + C
Answer: (x + 1)tan-1 √x – √x + C
(9) ∫x² sin x³ dx =
[A] 1/3 cos x³ + c
[B] –1/3 cos x + c
[C] −1/3 cos x³ + c
[D] 1/2 sin² x³ + c
Answer: −1/3 cos x³ + c
(10) dθ =
[A] tan θ – θ + c
[B] θ + tan θ + c
[C] θ – tan θ + c
[D] -θ – cot θ + c
Answer: θ – tan θ + c
(11) dx =
[A] 1 – log 2
[B] 2
[C] 1 + log 2
[D] log 2
Answer: 1 – log 2
(12) What is the value of dx?
[A] 0
[B] π
[C] -π
[D] π/2
Answer: π/2
(13) dx =
[A] log 2
[B] -log 2
[C] log 2 – 1
[D] log 4 – 1
Answer: log 2
(14) What is the value of dx?
[A] 3/2
[B] 1/2
[C] e
[D] 1/e
Answer: 3/2
(15) What is the value of
[A] 1/2 log(-l)
[B] log(- 1)
[C] log 3
[D] log √3
Answer: log 3
(16)
[A] 1
[B] 2
[C] π/4
[D] π2/8
Answer: 2
(17)
[A] -1
[B] 0
[C] 1
[D] None of these
Answer: 0
(18) What is the value of
sin³ x cos² xdx?
[A] 0
[B] 1
[C] 1/2
[D] 2
Answer: 0
(19) dx is equal to
[A] 2 (sin x + x cos θ) + C
[B] 2 (sin x – x cos θ) + C
[C] 2 (sin x + 2x cos θ) + C
[D] 2 (sin x – 2x cos θ) + C
Answer: 2 (sin x + x cos θ) + C
(20) dx =
[A] log(sin x – cos x)
[B] x
[C] log x
[D] log sin (cos x)
Answer: x

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