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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) dx is equal to
[A] 1
[B] 2
[C] 3
[D] 4
Answer: 1
(2) Evaluate: dx
[A] 1/6 tan-1 (2 tan x) + C
[B] tan-1 (2 tan x) + C
[C] 1/6 tan-1(2tanx/3) + C
[D] None of these
Answer: 1/6 tan-1(2tanx/3) + C

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(3) Evaluate: ∫ sec²(7 – 4x)dx
[A] –1/4 tan(7 – 4x) + C
[B] 1/4 tan(7 – 4x) + C
[C] 1/4 tan(7 + 4x) + C
[D] –1/4 tan(7x – 4) + C
Answer: –1/4 tan(7 – 4x) + C
(4)
[A]
[B]
[C]
[D] None of these
Answer:
(5) Evaluate: dx
[A]
[B]
[C]
[D] None of these
Answer:
(6) ∫ cos(loge.x)dx is equal to
[A] 1/2 x[cos (logex) + sin(logex)]
[B] x[cos (logex) + sin(logex)]
[C] 1/2 x[cos (logex) – sin(logex)]
[D] x[cos (logex) – sin(logex)]
Answer: x[cos (logex) + sin(logex)]
(7) ∫ sin-1 xdx is equal to
[A] cos-1 x + C
[B] x sin-1x ++ C
[C]
[D]
Answer: x sin-1x ++ C
(8) If
[A] a = 1/3, b = 1
[B] a = −1/3, b = 1
[C] a = −1/3, b = -1
[D] a = 1/3, b = -1
Answer: a = 1/3, b = -1
(9) dx is equal to
[A] 2√2
[B] –1/3 cos x + c
[C] 0
[D] 2(√2 – 1)
Answer: 0
(10) dx is equal to
[A] 10x – x10 + C
[B] 10x + x10 + C
[C] (10x – x10)-1 + C
[D] loge(10x + x10) + C
Answer: loge(10x + x10) + C
(11)
[A] √x + k
[B] 2√x + k
[C] x + k
[D]
Answer: 2√x + k
(12)
[A]
[B] log | sin x + cos x | + c
[C] log | sin x – cos x | + c
[D]
Answer: log | sin x + cos x | + c
(13) d/dx ∫f(x)dx is equal to
[A] f'(x)
[B] f(x)
[C] f'(x’)
[D] f(x) + c
Answer: f(x)
(14) What is the value of
[A] π/2
[B] π/4
[C] π/8
[D] None of these
Answer: π/4
(15) is equal to
[A] 1/10010
[B] 1/10100
[C] 1/1010
[D] 1/110100
Answer: 1/10100
(16) ∫log10 xdx =
[A] loge 10.x loge (x/e) + c
[B] log10 e.x loge (x/e) + c
[C] (x – 1) loge x + c
[D] 1/x + c
Answer: log10 e.x loge (x/e) + c
(17)
[A] tan-1 (2x) + c
[B] cot-1 (2x) + c
[C] cos-1 (2x) + c
[D] sin-1 (2x) + c
Answer: sin-1 (2x) + c
(18)
[A]
[B]
[C]
[D]
Answer:
(19) dx is equal to
[A]
[B]
[C]
[D]
Answer:
(20)
[A] log |1 + cotx/2| + C
[B] log |1 – tanx/2| + C
[C] log |1 – cotx/2| + C
[D] log |1 + tanx/2| + C
Answer: log |1 – cotx/2| + C

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