CBSE Class 12 Integrals Multiple Choice Questions with Answers. MCQ Questions Class 12 Integrals with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Integrals with Answers to know their preparation level.
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MCQ Questions Class 12 Integrals with Answers - Set - 5
Question 1:
∫ sin-1 xdx is equal to
(a) cos-1 x + C
(b) x sin-1x + √(1−x2) + C
(b) 1/(√(1−x2)) + C
(b) x sin-1x – √(1−x2) + C
Correct Answer – (B)
Question 2:
∫ 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)]
Correct Answer – (B)
Question 3:
log |x – 2| + k log f(x) + c, then
(a) f(x) = |x² + 2x + 2|
(b) f(x) = x² + 2x + 2
(c) k = –12
(d) All of these
Correct Answer – (D)
Question 4:
(a) a log |tan-1 x| + C
(b) 12(tan-1 x)² + C
(c) a log (1 + x2) + C
(d) None of these
Correct Answer – (A)
Question 5:
dx is equal to
(a) 10x – x10 + C
(b) 10x + x10 + C
(c) (10x – x10)-1 + C
(d) loge(10x + x10) + C
Correct Answer – (D)
MCQ Questions Class 12 Integrals With Answers
Question 6:
∫ |x| dx is equal to
(a) (1/2) x² + C
(b) –(x2/2) + C
(c) x|x| + C
(d) (1/2) x|x| + C
Correct Answer – (D)
Question 7:
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
Correct Answer – (A)
Question 8:
is equal to
(a) log |1 + cot(x/2)| + C
(b) log |1 – tan(x/2)| + C
(c) log |1 – cot(x/2)| + C
(d) log |1 + tan(x/2)| + C
Correct Answer – (C)
Question 9:
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) None of these
Correct Answer – (B)
Question 10:
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
Correct Answer – (A)
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