NCERT MCQ CLASS-12 CHAPTER-7 | MATH NCERT MCQ | INTEGRALS | EDUGROWN

In This Post we are  providing Chapter-7 Integrals NCERT MCQ for Class 12 Math which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS  can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MCQ ON INTEGRALS

Question 1.
The anti-derivative of (√x + 1√x) equals

Answer: (c) 23 x²³ + 2x¹² + c

Question 2.
If 1dx (f(x)) = 4x³ – 3×4 such that f(2) = 0 then f(x) is ……………

Answer: (a) x⁴ + 1×3 – 1298

Question 3.
∫10×9+10xloge10x10+10x dx equals
(a) 10^x -x¹⁰ + c
(b) 10^x + x¹⁰ + c
(c) (10^x – x¹⁰)^-1 + c
(d) log (10^x + x¹⁰) + c.

Answer: (d) log (10^x + x¹⁰) + c.

Question 4.
∫dxsin2xcos2x equals
(a) tan x + cot x + c
(b) tan x – cot x + c
(c) tan x cot x + c
(d) tan x – cot 2x + c.

Answer: (b) tan x – cot x + c

Question 5.
∫sin2x–cos2xsin2xcos2x dx is equals to
(a) tan x + cot x + c
(b) tan x + cosec x + c
(c) -tan x + cot x + c
(d) tan x + sec x + c.

Answer: (a) tan x + cot x + c

Question 6.
∫ex(1+x)cos2(xe2) dx is equals to
(a) -cot (xe^x) + c
(b) tan (xe^x) + c
(c) tan (e^x) + c
(d) cot (e^x) + c

Answer: (b) tan (xe^x) + c

Question 7.
∫dxx2+2x+2 equals
(a) x tan^-1 (x + 1) + c
(b) tan^-1 (x + 1) + c
(c) (x + 1) tan^-1 x + c
(d) tan^-1 x + c

Answer: (b) tan^-1 (x + 1) + c

Question 8.
∫dx9−25×2√ equals

Answer: (b) 15 sin^-1 (5×3) + c

Question 9.
∫xdx(x−1)(x−2) equals

(d) log |(x – 1) (x – 2)| + c.

Answer: (b) log |(x−2)2x−1| + c

Question 10.
∫dxx(x2+1) equals
(a) log |x| – 12 log (x² + 1) + c
(b) 12 log |x| + 12 log (x² + 1) + c
(c) -log |x| + 12 log (x² + 1) + c
(d) log |x| + log (x² + 1) + c

Answer: (a) log |x| – 12 log (x² + 1) + c

Question 11.
∫x² e^x³ dx equals
(a) 13 e^x³ + c
(b) 13 e^x² + c
(c) 12 e^x³ + c
(d) 12 e^x² + c

Answer: (a) 13 e^x³ + c

Question 12.
∫e^x sec x (1 + tan x) dx equals
(a) e^x cos x + c
(b) e^x sec x + c
(c) e^x sin x + c
(d) e^x tan x + c

Answer: (b) e^x sec x + c

Question 13.
∫1+x2−−−−−√ dx is equal to

Answer:

Question 14.
∫x2–8x+7−−−−−−−−√ dx is equal to

Answer:

Question 15.
∫3√1 dx1+x2 equals
(a) π3
(b) 2π3
(c) π6
(d) π112

Answer: (d) π112

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