NCERT Solutions class 12 Maths Exercise 7.1

NCERT Solutions class 12 Maths Exercise 7.1 Class 12 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 12 Maths chapter wise NCERT solution for Maths part 1 and Maths part 2 for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

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NCERT Solutions class 12 Maths Integrals

Find an antiderivative (or integral) of the following functions by the method of inspection in Exercises 1 to 5.

1.  

Ans.

 

  An anti-derivative of  is

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2.

Ans.

 

  An anti-derivative of  is

---

3.  

Ans.  

 

 

 An anti-derivative of  is

---

4.  

Ans.  

 

 

 An anti-derivative of  is

---

5.  

Ans.

  …..(i)

Again

 

  [Multiplying both sides by ] ……….(ii)

Adding eq. (i) and (ii), we get

 

 

 An anti-derivative of  is

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Evaluate the following integrals in Exercises 6 to 11.

6.   

Ans.

=

=

=  

---

7.

Ans.  =  =  =

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8.  

Ans.

=

=

=  where  is the constant of integration.

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9.  

Ans.

=

=

=

---

10.

Ans.

=

=

=

=  

---

11.  

Ans.

=

=

=

=

=

---

Evaluate the following integrals in Exercises 12 to 16.

12.

Ans.

=

=

=

=

=

=

=

---

13.

Ans.

=

=

=

=

=

---

14.  

Ans.

=

=

=

=

=  =

---

15.  

Ans.

=

=

=

=

=

=

---

16.  

Ans.

=

=

=

=

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NCERT Solutions class 12 Maths Exercise 7.1

Evaluate the following integrals in Exercises 17 to 20.

17. 

Ans.

=

=

=

=

---

18.  

Ans.

=

=

=

---

19.  

Ans.

=

=

=

=

=

=

---

20.   

Ans.

=

=

=

=

---

NCERT Solutions class 12 Maths Exercise 7.1

21. Choose the correct answer:

The anti derivative of  equals.

(A)  

(B)

(C)

(D)

Ans.

=

=

=

=

=

Therefore, option (C) is correct.

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NCERT Solutions class 12 Maths Exercise 7.1

22. Choose the correct answer:

If  such that  Then  is:

(A)  

(B)

(C)

(D)

Ans.

=

=

=

   ……….(i)

 

 

 

 

Putting  in eq. (i),

Therefore, option (A) is correct.

NCERT Solutions class 12 Maths Exercise 7.1

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