NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1 (Integrals)
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1 contains all the questions with detailed solutions. Students are advised to solve these questions for better understanding of the concepts in exercise 7.1.
Krati Saraswat3 Feb, 2024
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NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1 (Integrals)
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1 Integrals is prepared by academic team of Physics Wallah. We have prepared NCERT Solutions for all exercise of chapter-7. Given below is step by step solutions of all questions given in the NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1.NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1 Overview
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1 addresses these significant subjects. In order to fully comprehend the concepts presented in the chapter and make effective use of the provided solutions, it is recommended that students go over each topic in great detail. The intention is for students to effortlessly achieve excellent exam scores after reviewing and practicing these responses.NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1
Solve The Following Questions of NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1: Find an antiderivative (or integral) of the following functions by the method of inspection in Exercises 1 to 5. Question 1. sin 2 x Solution : The anti derivative of sin 2 x is a function of x whose derivative is sin 2 x . It is known that,
herefore, the anti derivative of sin 2x is -1/2 cos 2x.
Question 2. cos 3
x
Solution :
The anti derivative of cos 3
x
is a function of
x
whose derivative is cos 3
x
.
It is known that,
Therefore, the anti derivative of cos 3x is 1/3 sin 3x.
Question 3.
e
2
x
Solution :
The anti derivative of
e
2
x
is the function of
x
whose derivative is
e
2
x
.
It is known that,
Therefore, the anti derivative of e
2x
is 1/2 e
2x
.
Question 4. (ax + b)
2
Solution :
The anti derivative of
(ax + b)
2
is the function of
x
whose derivative is
(ax + b)
2
.
It is known that,
Question 5.
sin 2x – 4 e
3x
Solution :
The anti derivative of
sin 2x – 4 e
3x
is the function of
x
whose derivative is
sin 2x – 4 e
3x
It is known that,
Evaluate the following integrals in Exercises 6 to 11.
Question 6.
∫(4e
3x
+ 1) dx
Solution :
Question 7.
Solution :
Question 8.
Solution :
Question 9.
Solution :
Question 10.
Solution :
Question 11.
Solution :
Evaluate the following integrals in Exercises 12 to 16.
Question 12.
Solution :
Question 13.
Solution :
Question 14.
∫(1 - x)√x dx
Solution :
∫(1 - x)√x dx
Question 15.
Solution :
Question 16.
Solution :
Evaluate the following integrals in Exercises 17 to 20.
Question 17.
Solution :
Question 18.
Solution :
Question 19.
Solution :
Question 20.
Solution :
Question 21. Choose the correct answer:
The anti derivative of
equals.
Solution :
Therefore, option (C) is correct.
Question 22. Choose the correct answer:
If
such that f(2) = 0 Then f is:
Solution :
It is given that,
Therefore, option (A) is correct.
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1FAQs
Where can I find NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1?
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1 can be found in the official NCERT textbooks or on various educational websites that provide study materials for Class 12 Mathematics.
Are the NCERT Solutions for Exercise 7.1 in Class 12 Maths free to access?
Yes, NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1 are often freely accessible on educational websites. Additionally, these solutions are included in the official NCERT textbooks.
What topics are covered in Exercise 7.1 of Class 12 Maths Chapter 7?
Exercise 7.1 of Class 12 Maths Chapter 7 on Integrals covers fundamental concepts related to definite integrals, antiderivatives, and evaluating integrals of simple functions.
How can NCERT Solutions for Exercise 7.1 assist in exam preparation?
NCERT Solutions provide step-by-step explanations for problems in Exercise 7.1, helping students understand the concepts thoroughly. Regular practice using these solutions can enhance problem-solving skills and exam readiness.
Can I rely solely on NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1 for exam preparation?
While NCERT Solutions are essential for understanding concepts, it is advisable to practice a variety of problems from different sources, including textbooks, reference books, and online resources, to ensure comprehensive exam preparation.
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