RD Sharma Solutions For Class 12 Maths Exercise 19.20 Chapter 19 Indefinite Integrals

RD Sharma Solutions for Class 12 Maths Exercise 19.20 Chapter 19 Indefinite Integrals is provided here. In this exercise, we shall discuss how to examine the integrals of the form \(\int \frac{P(x)}{ax^{2}+bx+c}\ dx\) where P(x) is a polynomial of degree two or more. For students desiring an after-school reference for solving the exercise problems, the RD Sharma Solutions for Class 12 Mathematics is the best resource a student can get.

All the solutions are created by subject experts at BYJU’S, keeping in mind the latest CBSE marking patterns. RD Sharma Solutions for Class 12 Maths Chapter 19 Exercise 19.20 PDF can be downloaded easily from the link below.

Download the PDF of RD Sharma Solutions For Class 12 Chapter 19 – Indefinite Integrals Exercise 19.20

 

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Access answers to Maths RD Sharma Solutions For Class 12 Chapter 19 – Indefinite Integrals Exercise 19.20

Exercise 19.20 Page No: 19.106

Evaluate the following integrals:

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 328

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 329

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 330

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 331

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 332

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 333

⇒ 1 = (A + B) x + (3A – 2B)

⇒ Then A + B = 0 … (1)

And 3A – 2B = 1 … (2)

Solving (1) and (2),

2 × (1) → 2A + 2B = 0

1 × (2) → 3A – 2B = 1

5A = 1

∴ A = 1/5

Substituting A value in (1),

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 334

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 335

Or I = log|(x – 2)/(x + 3)| + x + c

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 336

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 337

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 338

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 339

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 340

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 341

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 342

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 343

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RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 345

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 346

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 347

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 348

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 349

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 350

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 351

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 352

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 353

Hence,

RD Sharma Solutions for Class 12 Maths Chapter 19 Indefinite Integrals Image 354

Access other exercises of RD Sharma Solutions For Class 12 Chapter 19 – Indefinite Integrals

Exercise 19.1 Solutions

Exercise 19.2 Solutions

Exercise 19.3 Solutions

Exercise 19.4 Solutions

Exercise 19.5 Solutions

Exercise 19.6 Solutions

Exercise 19.7 Solutions

Exercise 19.8 Solutions

Exercise 19.9 Solutions

Exercise 19.10 Solutions

Exercise 19.11 Solutions

Exercise 19.12 Solutions

Exercise 19.13 Solutions

Exercise 19.14 Solutions

Exercise 19.15 Solutions

Exercise 19.16 Solutions

Exercise 19.17 Solutions

Exercise 19.18 Solutions

Exercise 19.19 Solutions

Exercise 19.21 Solutions

Exercise 19.22 Solutions

Exercise 19.23 Solutions

Exercise 19.24 Solutions

Exercise 19.25 Solutions

Exercise 19.26 Solutions

Exercise 19.27 Solutions

Exercise 19.28 Solutions

Exercise 19.29 Solutions

Exercise 19.30 Solutions

Exercise 19.31 Solutions

Exercise 19.32 Solutions

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