# Unseen Passage

For Class 4 to Class 12

# Integrals MCQ Questions Class 12 Mathematics

Please refer to MCQ Questions for Class 12 Mathematics Chapter 7 Integrals with answers below. These multiple-choice questions have been prepared based on the latest NCERT book for Class 12 Mathematics. Students should refer to MCQ Questions for Class 12 Mathematics with Answers to score more marks in Grade 12 Mathematics exams. Students should read the chapter Integrals and then attempt the following objective questions.

## MCQ Questions for Class 12 Mathematics Chapter 7 Integrals with answers

MCQ Questions for Class 12 Mathematics Chapter 7 provided below covers all important topics given in this chapter. These MCQs will help you to properly prepare for exams.

Question.

(A) 2(sin x + xcos θ) + C
(B) 2(sin x – xcos θ) + C
(C) 2(sin x + 2xcos θ) + C
(D) 2(sin x − 2xcos θ) + C

A

Question. The value of

(A) 0
(B) 2
(C) π
(D) 1

C

Question.

(A) tan–1 (ex) + C
(B) tan–1 (e–x) + C
(C) log (ex – e–x) + C
(D) log (ex + e–x) + C

A

Question.

B

Question.

D

Question. The value of

(A) 1
(B) 0
(C) –1
(D) π/4

B

Question.

C

Question.

A

Question.

B

Question.

(A) cos x + x sin x
(B) xsin x
(C) xcos x
(D) sin x + xcos x

B

Question. ∫ tan−1 √x dx 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

A

Question. ∫x2ex3 dx is equal to

A

Question. ∫ ex sec x(1 + tan x)dx is equal to
(A) ex cos x + C
(B) ex sec x + C
(C) ex sin x + C
(D) ex tan x + C

B

Question.

(A) tan x + cot x + C
(B) tan x + cosec x + C
(C) –tan x + cot x + C
(D) tan x + sec x + C

A

Question.

(A) tan x + cot x + C
(B) tan x – cot x + C
(C) tan xcot x + C
(D) tan x – cot 2x + C

B

Question.

D

Question.

D

Question.

D

Question.

(A) 1
(B) 2
(C) 3
(D) 4

A

Question.

(A) xtan–1 (x + 1) + C
(B) tan–1 (x + 1) + C
(C) (x + 1) xtan–1 + C
(D) tan–1 + C

B

Question.

(A) 2 √2
(B) 2( √2 + 1)
(C) 2
(D) 2( √2 – 1)

D

Question. The anti-derivative of

C

Question.

(A) π/3
(B) 2π/3
(C) π/6
(D) π/12

D

Question.

(A) π/6
(B) π/12
(C) π/24
(D) π/4

C

Question.

A

Case-based MCQs

Read the following text and answer the following questions on the basis of the same:

Question.

(A) 0
(B) 1
(C) –1
(D) 2

A

Question.

(A) 1
(B) 0
(C) –1
(D) π/2

B

Question.

(A) 1
(B) 0
(C) –1
(D) π

B

Question.

(A) π
(B) 0
(C) 2π
(D) π/2

C

Question.

(A) 1
(B) –1
(C) 0
(D) 2

C

Read the following text and answer the following questions on the basis of the same:

Q. 1. ∫ex (sinx + cosx) dx = _______.
(A) ex cos x + c
(B) ex sin x + c
(C) ex + c
(D) ex (–cos x + sin x) +c

B

Question.

B

Question. ∫ex (x + 1)dx =
(A) xex + c
(B) ex + c
(C) e–x + c
(D) None of these

A

Question.

(A) 0
(B) 1
(C) –1
(D) –eπ

A

Question.