NCERT Solutions for Class 12 Maths Chapter 7 – Integrals Ex 7.9
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.
