NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.5 (Integrals)
Krati Saraswat21 Feb, 2024
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NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.5 (Integrals)
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.5 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 solution to all questions given in the NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.5.NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.5 Overview
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.5 cover several important topics. It is highly recommended for students to review each topic thoroughly in order to gain a comprehensive understanding of the concepts taught in the chapter and make optimal use of the provided solutions. These solutions are the result of dedicated efforts by the Physics Wallah teachers aimed at assisting students in grasping the concepts covered in this chapter. By going through and practicing these solutions, the objective is for students to achieve excellent results in their exams effortlessly.NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.5
Solve The Following Questions of NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.5: Integrate the (rational) function in Exercises 1 to 6. Question 1.
Solution :
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.2
Question 2.
Solution :
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3
Question 3.
Solution :
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4
Question 4.
Solution :
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6
Question 5.
Solution :
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7
Question 6.
Solution :
It can be seen that the given integrand is not a proper fraction.
Therefore, on dividing (1 −
x
2
) by
x
(1 − 2
x
), we obtain
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.8
Question7.
Solution :
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9
Question8.
Solution :
NCERT Solutions for Class 12 Maths Chapter 7 Miscellaneous Exercise
Question9.
Solution :
Question10.
Solution :
Question11.
Solution :
Question12.
Solution :
It can be seen that the given integrand is not a proper fraction.
Therefore, on dividing (
x
3
+
x
+ 1) by
x
2
− 1, we obtain
Integrate the following function in Exercises 13 to 17.
Question13.
Solution :
Question 14.
Solution :
Question15.
Solution :
Question16.
[Hint: multiply numerator and denominator by
x
n
− 1
and put
x
n
=
t
]
Solution :
Multiplying numerator and denominator by
x
n
− 1
, we obtain
Question17.
[Hint: Put sin
x
=
t
]
Solution :
Integrate the following function in Exercises 18 to 21.
Question18.
Solution :
Question19.
Solution :
Question20.
Solution :
Multiplying numerator and denominator by x 3 , we obtain
Question21.
[Hint: Put
e
x
=
t
]
Solution :
Choose the correct answer in each of the Exercise 22 and 23.
Question22.
equals:
Solution :
Therefore, option (B) is correct.
Question23.
equals:
Solution :
Therefore, option (A) is correct.
NCERT Solutions For Class 12 Maths Chapter 7 Exercise 7.5 FAQs
In which class we study integration?
What are the two types of integrals?
Who invented integration?
How is integration used in real life?
Can integrals cancel each other?
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