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Chapter 7 Integrals Ex 7.4 Solutions

Question - 11 : -

Answer - 11 : -

Question - 12 : -

Answer - 12 : -

Question - 13 : -

Answer - 13 : -

Question - 14 : -

Answer - 14 : -

Question - 15 : -

Answer - 15 : -

Equating the coefficientsof x and constant term on both sides, we obtain

4A = 4  A = 1

A + B =1  B =0

Let 2x2 + x −3 = t

(4x + 1) dx dt

Question - 16 : -

Answer - 16 : -

Equating the coefficientsof x and constant term on both sides, we obtain

From (1), we obtain

From equation (2), weobtain

Question - 17 : -

Answer - 17 : -

Equating the coefficientof x and constant term on both sides, we obtain

Substituting equations (2)and (3) in equation (1), we obtain

Question - 18 : -

Answer - 18 : -

Equating the coefficientsof x and constant term, we obtain

2A = 6  A = 3

−9A + B =7  B =34

6x + 7 = 3 (2x − 9) + 34

Substituting equations (2)and (3) in (1), we obtain

Question - 19 : -

Answer - 19 : -

Equating the coefficientsof x and constant term on both sides, we obtain

Using equations (2) and(3) in (1), we obtain


Question - 20 : -

Answer - 20 : -

Let x2 +2x +3 = t

(2x + 2) dx =dt

Using equations (2) and(3) in (1), we obtain

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