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Class 12 (HSC Board)Commerce Mathematics & Statistics2026-27 Syllabus

Chapter 6 Definite Integration Miscellaneous Exercise 6 Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 6 Definite Integration Miscellaneous Exercise 6. Step-by-step solved exercises, numerical problems, and digest answers.

46 Solved Questions• 27 Diagrams• 686 words

Balbharati Maharashtra State BoardStd 12 Commerce Statistics Part 1 Digest PdfChapter 6 Definite Integration Miscellaneous Exercise 6 Questions and Answers.

Maharashtra State Board 12th Commerce Maths Solutions Chapter 6 Definite Integration Miscellaneous Exercise 6

(I) Choose the correct alternative:

Question 1 Maharashtra Board Solution

= ________ (a) 0 (b) 3 (c) 9 (d) -9

Solution & Step-by-Step Answer:

(a) 0

Question 2 Maharashtra Board Solution

= _________ (a) -log() (b) log() (c) log() (d) -log()

Solution & Step-by-Step Answer:

(b) log()

Question 3 Maharashtra Board Solution

= _________ (a) log() (b) -log() (c) log() (d) log()

Solution & Step-by-Step Answer:

(c) log()

Question 4 Maharashtra Board Solution

= ___________ (a) 9 (b) 4 (c) 2 (d) 0

Solution & Step-by-Step Answer:

(c) 2

Question 5 Maharashtra Board Solution

If , then a = __________ (a) 2 (b) 0 (c) (d) a

Solution & Step-by-Step Answer:

(a) 2

Question 6 Maharashtra Board Solution

dx = ________ (a) (b) (c) (d)

Solution & Step-by-Step Answer:

(d)

Question 7 Maharashtra Board Solution

dx = _______ (a) e – 1 (b) 1 – e (c) 1 – e2 (d) e2 – 1

Solution & Step-by-Step Answer:

(d) e2 – 1

Question 8 Maharashtra Board Solution

= ________ (a) (b) – (c) – (d)

Solution & Step-by-Step Answer:

(c) –

Question 9 Maharashtra Board Solution

= _________ (a) 7 (b) 49 (c) 0 (d)

Solution & Step-by-Step Answer:

(c) 0

Question 10 Maharashtra Board Solution

= _________ (a) (b) (c) 7 (d) 2

Solution & Step-by-Step Answer:

(b)

(II) Fill in the blanks:

Question 1 Maharashtra Board Solution

= ________

Solution & Step-by-Step Answer:

e2 – 1

Question 2 Maharashtra Board Solution

= __________

Solution & Step-by-Step Answer:

Question 3 Maharashtra Board Solution

= ____________

Solution & Step-by-Step Answer:

Question 4 Maharashtra Board Solution

If = 8, then a = _________

Solution & Step-by-Step Answer:

2

Question 5 Maharashtra Board Solution

= _________

Solution & Step-by-Step Answer:

2

Question 6 Maharashtra Board Solution

= _________

Solution & Step-by-Step Answer:

Question 7 Maharashtra Board Solution

= _________

Solution & Step-by-Step Answer:

Question 8 Maharashtra Board Solution

= _____________

Solution & Step-by-Step Answer:

o

(III) State whether each of the following is True or False:

Question 1 Maharashtra Board Solution

Solution & Step-by-Step Answer:

True

Question 2 Maharashtra Board Solution

Solution & Step-by-Step Answer:

True

Question 3 Maharashtra Board Solution

Solution & Step-by-Step Answer:

False

Question 4 Maharashtra Board Solution

Solution & Step-by-Step Answer:

False

Question 5 Maharashtra Board Solution

Solution & Step-by-Step Answer:

True

Question 6 Maharashtra Board Solution

Solution & Step-by-Step Answer:

True

Question 7 Maharashtra Board Solution

Solution & Step-by-Step Answer:

False

Question 8 Maharashtra Board Solution

Solution & Step-by-Step Answer:

True

(IV) Solve the following:

Question 1 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 2 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Let I = Let ∴ x + 3 = A(x + 2) + Bx Put x = 0, we get 3 = A(2) + B(0) ∴ A = Put x + 2 = 0, i.e. x = -2, we get -2 + 3 = A(0) + B(-2) ∴ 1 = -2B ∴ B =

Question 3 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 4 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 5 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 6 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 7 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 8 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 9 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 10 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 11 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 12 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 13 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 14 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 15 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 16 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 17 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 18 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 19 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Question 20 Maharashtra Board Solution

Solution & Step-by-Step Answer:

Previous Chapter

Chapter 6 Definite Integration Ex 6.2

Chapter 7 Application of Definite Integration Ex 7.1