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NCERT solution class 12 chapter 1 Integrals exercise 1.9 mathematics part 2

EXERCISE 1.9


Page No 338:

Question 1:

Answer:

By second fundamental theorem of calculus, we obtain

Question 2:

Answer:

By second fundamental theorem of calculus, we obtain

Question 3:

Answer:

By second fundamental theorem of calculus, we obtain

Question 4:

Answer:

By second fundamental theorem of calculus, we obtain

Question 5:

Answer:

By second fundamental theorem of calculus, we obtain

Question 6:

Answer:

By second fundamental theorem of calculus, we obtain

Question 7:

Answer:

By second fundamental theorem of calculus, we obtain

Question 8:

Answer:

By second fundamental theorem of calculus, we obtain

Question 9:

Answer:

By second fundamental theorem of calculus, we obtain

Question 10:

Answer:

By second fundamental theorem of calculus, we obtain

Question 11:

Answer:

By second fundamental theorem of calculus, we obtain

Question 12:

Answer:

By second fundamental theorem of calculus, we obtain

Question 13:

Answer:

By second fundamental theorem of calculus, we obtain

Question 14:

Answer:

By second fundamental theorem of calculus, we obtain

Question 15:

Answer:

By second fundamental theorem of calculus, we obtain

Question 16:

Answer:

Let 

Equating the coefficients of x and constant term, we obtain

A = 10 and B = −25

Substituting the value of I1 in (1), we obtain

Question 17:

Answer:

By second fundamental theorem of calculus, we obtain

Question 18:

Answer:

By second fundamental theorem of calculus, we obtain

Question 19:

Answer:

By second fundamental theorem of calculus, we obtain

Question 20:

Answer:

By second fundamental theorem of calculus, we obtain

Question 21:

equals

A. 

B. 

C. 

D. 

Answer:

By second fundamental theorem of calculus, we obtain

Hence, the correct answer is D.

Question 22:

equals

A. 

B. 

C. 

D. 

Answer:

By second fundamental theorem of calculus, we obtain

Hence, the correct answer is C.


 

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