NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9 (Integrals)
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9: Academic team of PW uploaded errorless NCERT Solutions for Class 12 Maths Chapter-7-Integrals Exercise 7.9 prepared based on recommendations of CBSE
Krati Saraswat8 Feb, 2024
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NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9 (Integrals)
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9 Integrals is prepared by the academic team of Physics Wallah. We have prepared NCERT Solutions for all exercise of Chapter 7. Given below is a step by step solutions to all questions given in the NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9.NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9 (Integrals) Overview
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9 (Integrals) covers these important topics. Students are encouraged to review each topic thoroughly in order to fully understand the concepts taught in the chapter and make optimal use of the provided solutions. These solutions are the outcome of the dedicated effort that the Physics Wallah teachers have been doing to aid students in understanding the ideas covered in this chapter. After going over and rehearsing these responses, the goal is for students to easily score outstanding exam results.NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9
Solve The Following Questions NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9 Evaluate the definite integrals in Exercises 1 to 11. Question 1.
Solution :
By second fundamental theorem of calculus, we obtain
Question
2.
Solution :
By second fundamental theorem of calculus, we obtain
I = F(3) - F(2)
= log|3| - log|2| = log 3/2
Question
3.
Solution :
By second fundamental theorem of calculus, we obtain
Question
4.
Solution :
By second fundamental theorem of calculus, we obtain
Question
5.
Solution :
By second fundamental theorem of calculus, we obtain
Solution :
By second fundamental theorem of calculus, we obtain
Question
7.
Solution :
By second fundamental theorem of calculus, we obtain
Question
8.
Solution :
By second fundamental theorem of calculus, we obtain
Question
9.
Solution :
By second fundamental theorem of calculus, we obtain
Question
10.
Solution :
By second fundamental theorem of calculus, we obtain
Question
11.
Solution :
By second fundamental theorem of calculus, we obtain
Evaluate the definite integrals in Exercises 12 to 20.
Question
12.
Solution :
By second fundamental theorem of calculus, we obtain
Question
13.
Solution :
By second fundamental theorem of calculus, we obtain
Question
14.
Solution :
Question
15.
Solution :
By second fundamental theorem of calculus, we obtain
Question
16.
Solution :
Equating the coefficients of
x
and constant term, we obtain
Question
17.
Solution :
By second fundamental theorem of calculus, we obtain
Question
18.
Solution :
By second fundamental theorem of calculus, we obtain
I = F(π) - F(0)
= sin π - sin 0
= 0
Question
19.
Solution :
By second fundamental theorem of calculus, we obtain
Question
20.
Solution :
By second fundamental theorem of calculus, we obtain
Choose the correct answer in Exercises 21 and 22.
Question
21.
equals:
(A) π/3
(B) 2π/3
(C) π/6
(D) π/12
Solution :
Therefore, option (D) is correct.
Question
22.
equals:
(A) π/6
(B) π/12
(C) π/24
(D) π/4
Solution :
By second fundamental theorem of calculus, we obtain
Therefore, option (C) is correct.
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9 FAQs
What topics are covered in NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9?
Chapter 7 Exercise 7.9 of Class 12 Maths deals with applications of integrals, including finding the area of the region enclosed by curves, area between curves, and area of the region bounded by the curves and lines.
Can NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9 help me score better marks in exams?
Yes, practicing with NCERT Solutions can improve your problem-solving skills and deepen your understanding of integration applications, leading to better performance in exams.
What is the meaning of integrals in NCERT Solutions for Class 12 Maths Chapter 7?
In calculus, the area under a curve is commonly referred to as an integral. It represents the accumulation of quantities over an interval and can be depicted graphically as a mathematical function. This chapter covers a comprehensive list of important formulas for determining the integration of various functions.
Where can I find NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9?
You can find the NCERT Solutions for Class 12 Maths Chapter 7 on physics Wallah.
Are NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9 useful for self-study?
Yes, NCERT Solutions are designed to facilitate self-study.
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