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

#### Question 1:

By second fundamental theorem of calculus, we obtain

#### Question 2:

By second fundamental theorem of calculus, we obtain

#### Question 3:

By second fundamental theorem of calculus, we obtain

#### Question 4:

By second fundamental theorem of calculus, we obtain

#### Question 5:

By second fundamental theorem of calculus, we obtain

#### Question 6:

By second fundamental theorem of calculus, we obtain

#### Question 7:

By second fundamental theorem of calculus, we obtain

#### Question 8:

By second fundamental theorem of calculus, we obtain

#### Question 9:

By second fundamental theorem of calculus, we obtain

#### Question 10:

By second fundamental theorem of calculus, we obtain

#### Question 11:

By second fundamental theorem of calculus, we obtain

#### Question 12:

By second fundamental theorem of calculus, we obtain

#### Question 13:

By second fundamental theorem of calculus, we obtain

#### Question 14:

By second fundamental theorem of calculus, we obtain

#### Question 15:

By second fundamental theorem of calculus, we obtain

#### Question 16:

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:

By second fundamental theorem of calculus, we obtain

#### Question 18:

By second fundamental theorem of calculus, we obtain

#### Question 19:

By second fundamental theorem of calculus, we obtain

#### Question 20:

By second fundamental theorem of calculus, we obtain

#### Question 21:

equals
A.
B.
C.
D.

By second fundamental theorem of calculus, we obtain
Hence, the correct answer is D.

equals
A.
B.
C.
D.