CBSE Class 12 Maths Chapter 7 Integrals MCQs with Solutions: Download PDF

Maths Class 12 Integrals MCQs: The Central Board of Secondary Education (CBSE) is responsible for conducting the term-end board exam for class 12, which is considered among the most challenging and important exams in the country for students.

The format of the paper varies from subject to subject, but multiple choice questions are a requisite in all exams. The question paper also comprises various types of questions like short answer, long-answer and descriptive. The objective MCQs have multiple options which often confuse students, especially in the maths exam.

It’s essential to practice the MCQs thoroughly beforehand so that you don’t make mistakes in the exam. Maths is a popular subject in CBSE Class 12 but is not an easy one. MCQs for Integrals and other calculus chapters trouble students a lot.

On that note, we bring you the following questions for practice. From easy to difficult, all levels of questions are listed. You can check out the MCQs for CBSE Class 12 Maths Chapter 7 Integrals below.

Key Highlights

Related: CBSE Class 12 Maths Chapter 5 Continuity and Differentiability MCQs

MCQs for CBSE Class 12 Maths Chapter 7 Integrals with Solutions

1: ∫ 2^x dx = f(x) + C, then f(x) is

(a) 2^x(b) 2^xlog_e2

(c) 2^x/log_e2

(d) 2^x+1/x+1

2: Integrate ₀∫² (x²+x+1) dx

(a) 15/2

(b) 20/5

(c) 20/3

(d) 3/20

Related: CBSE Class 12 Mathematics Syllabus 2025-26: Download PDF

3: f a is such that ₀∫^a  x d x ≤ a + 4, then

(a) 0 ≤ a ≤ 4

(b) -2 ≤ a ≤ 0

(c) a ≤ -2 or a ≤ 4

(d) -2 ≤ a ≤ 4

4:If ∫sec²(7 – 4x)dx = a tan (7 – 4x) + C, then value of a is

(a) -4
(b) -1/4
(c) 3
(d) 7

Also Check: NCERT Solutions for Class 12 Maths PDF: Updated for 2023-24

5: ∫e^x(logsinx + cotx)dx

(a) e^x logsinx + c

(b) e^x tanx + c

(c) e^x cotx + c

(d) None

6: If ∫dx/[(x+2)(x²+1)] =  a log |1 + x²| + b tan–1x + (1/5) log |x + 2| + C, then 

(a) a = -1/10, b = -2/5 

(b) a = 1/10, b = -2/5 

(c) a = -1/10, b = 2/5 

(d) a = 1/10, b = 2/5

7:

(a) 1

(b) log_e4

(c) log₄e

(d) 4

Related: CBSE Class 12 Maths Sample Paper 2025-26, Download Model Paper PDF FREE

8:

(a) 1/6

(b) 1/30

(c) -1/6

(d) -1/30

9:

Answer:

10:

Answer:

11. 

12. 

13.

14. 

15. 

Answers

Also Check: CBSE Class 12 Maths Chapter 2 Inverse Trigonometric Functions MCQs with Solutions: Download PDF 

MCQs for CBSE Class 12 Maths Chapter 7 Integrals with Solutions: Download PDF

Given here is a PDF that includes all the important multiple choice questions prepared by subject matter experts for CBSE class 12 Maths, Chapter 7- Integrals. Students can use these questions as sample questions for chapter-wise revision and better understanding of integral formulas. 

Recommended:

NCERT Book for Class 12 Maths 2025-26 All Chapters, PDF Download

CBSE Class 12 Maths Deleted Syllabus 2025-26: Check Chapter-Wise List of Deleted Topics