## 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 *I*_{1} 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.