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Solutions ⇒ Class 12th ⇒ Mathematics-II ⇒ 7. Integrals

# Solutions 7. Integrals - Exercise 7.6 | Class 12 Mathematics-II - Toppers Study

Topper Study classes prepares ncert solutions on practical base problems and comes out with the best result that helps the students and teachers as well as tutors and so many ecademic coaching classes that they need in practical life. Our ncert solutions for Solutions 7. Integrals - Exercise 7.6 | Class 12 Mathematics-II - Toppers Study is the best material for English Medium students cbse board and other state boards students.

## Solutions 7. Integrals - Exercise 7.6 | Class 12 Mathematics-II - Toppers Study

CBSE board students who preparing for class 12 ncert solutions maths and Mathematics-II solved exercise chapter 7. Integrals available and this helps in upcoming exams 2023-2024.

### You can Find Mathematics-II solution Class 12 Chapter 7. Integrals

• All Chapter review quick revision notes for chapter 7. Integrals Class 12
• NCERT Solutions And Textual questions Answers Class 12 Mathematics-II
• Extra NCERT Book questions Answers Class 12 Mathematics-II
• Importatnt key points with additional Assignment and questions bank solved.

Chapter 7 Mathematics-II class 12

### Exercise 7.6 class 12 Mathematics-II Chapter 7. Integrals

• Solutions 7. Integrals - Exercise 7.6 | Class 12 Mathematics-II - Toppers Study
• Class 12 Ncert Solutions
• Solution Chapter 7. Integrals Class 12
• Solutions Class 12
• Chapter 7. Integrals Exercise 7.6 Class 12

## Solutions 7. Integrals - Exercise 7.6 | Class 12 Mathematics-II - Toppers Study

Exercise 7.6

Integrate the functions in Exercises 1 to 22.

Ques.1.

Ans.

[By product rule]

Ques.2.

Ans.

[By product rule]

Ques.3.

Ans.

[By product rule]

[Again By product rule]

Ques.4.

Ans.

[By product rule]

Ques.5.

Ans.

[By product rule]

Ques.6

Ans.

[BY product rule]

Ques.7.

Ans. Let I =

Putting

I =

[Integrating by parts]

Ques.8.

Ans. Let I =

Ques.9.

Ans. Let I =  ……….(i)

Putting

From eq. (i),

I =

[Applying product rule]

Putting  and

Ques.10.

Ans. Putting

[By product rule]

[Again By product rule]

Ques.11.

Ans. Let I ……….(i)

Putting

From eq. (i),

I =

[By product rule]

Ques.12.

Ans.

[By product rule]

Ques.13.

Ans. Let I

=

Ques.14.

Ans.

=

Ques.15.

Ans.

[By product rule]

Ques.16.

Ans. Let I =

It is in the form of  since,

here  and

I =

Ques.17.

Ans. Let I =

I =

It is in the form of  since,

here  and

I =

Ques.18.

Ans. Let I =

It is in the form of  since,

here  and

### Ques.19.

Ans. Let I =

It is in the form of  since,

here  and

I =

### Ques.20.

Ans. Let I =

I =

It is in the form of  since,

here  and

.

I =

### Ques.21.

Ans. Let I =

[By product rule]

I =

I =

[Again By product rule]

I =

5I =

I =

### Ques.22.

Ans. Putting

=

[By product rule]

### Choose the correct answer in Exercise 23 and 24.

Ques.23.  equals to

(A)

(B)

(C)

(D)

Ans. Let I =

……….(i)

Putting

From eq. (i), I =

hance, option (B) is correct.

### Ques.24.  equals:

(A)

(B)

(C)

(D)

Ans. Let I =

It is in the form of  since,

here  and

I =

hance, option (B) is correct.

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## Study Materials List:

##### Solutions ⇒ Class 12th ⇒ Mathematics-II
7. Integrals
8. Application of Integrals
9. Differential Equations
10. Vector Algebra
11. Three Dimensional Geometry
12. Linear Programming
13. Probability

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