**Find here the NCERT chapter-wise Multiple Choice Questions from Class 12 Mathematics book Chapter 7 Integrals with Answers Pdf free download. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Multiple Choice Questions of Integrals. Each question has four options followed by the right answer. These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.**

## NCERT MCQ Chapters for Class 12 Mathematics

## Q1. Evaluate: ∫(2tan x – 3cot x)² dx

(i) -4tan x – 9cot x – 25x + C

(ii) 4tan x – 9cot x – 25x + C

(iii) -4tan x + 9 cot x + 25x + C

(iv) 4tan x + 9cot x + 25x + C

(ii) 4tan x – 9cot x – 25x + C

## Q2. ∫e^{x} sec x (1 + tan x) dx equals

(i) e^{x} cos x + c

(ii) e^{x} sec x + c

(iii) e^{x} sin x + c

(iv) e^{x} tan x + c.

(ii)

## Q3. Find the integral of 8x³+1.

(i) 2x^{4}+x+C

(ii) 2x^{6}-5x+C

(iii) 2x^{4}-x+C

(iv) 2x^{4}+x² C

(i)

## Q4. If a is such that (\int_{0}^{a} x d x) ≤ a + 4, then

(i) 0 ≤ a ≤ 4

(ii) -2 ≤ a ≤ 0

(iii) a ≤ -2 or a ≤ 4

(iv) -2 ≤ a ≤ 4

(iv) -2 ≤ a ≤ 4

## Q5. ∫cot²x dx equals to

(i) cot x – x + C

(ii) cot x + x + C

(iii) -cot x + x + C

(iv) -cot x – x + C

(iv) -cot x – x + C

## Q6. If ∫ sec²(7 – 4x)dx = a tan (7 – 4x) + C, then value of a is

(i) 7

(ii) -4

(iii) 3

(iv) (-\frac{1}{4})

(iv) (-\frac{1}{4})

## Q7. Evaluate: ∫(2 tan x – 3 cot x)² dx

(i) -4tan x – cot x – 25x + C

(ii) 4 tan x – 9 cot x – 25x + C

(iii) – 4 tan x + 9 cot x + 25x + C

(iv) 4 tan x + 9 cot x + 25x + C

(ii) 4 tan x – 9 cot x – 25x + C

## Q8. ∫1.dx =

(i) x + k

(ii) 1 + k

(iii) x + k + 1

(iv) log x + k

(i) x + k

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## MCQ Questions for Class 12 Mathematics Chapter wise with Answers

**Lesson 1. Relations and Functions MCQs****Lesson 2. Inverse Trigonometric Functions MCQs****Lesson 3. Matrices MCQs****Lesson 4. Determinants MCQs****Lesson 5. Continuity and Differentiability MCQs****Lesson 6. Application of Derivatives MCQs****Lesson 7. Integrals MCQs****Lesson 8. Application of Integrals MCQs****Lesson 9. Differential Equations MCQs****Lesson 10. Vector Algebra MCQs****Lesson 11. Three Dimensional Geometry MCQs****Lesson 12. Linear Programming MCQs****Lesson 13. Probability MCQs**