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
\(\begin{array}{l}\int \frac{P(x)}{ax^{2}+bx+c}\ dx\end{array} \)
where P(x) is a polynomial of degree two or more. For students desiring an after-school reference to solve exercise problems, the RD Sharma Solutions for Class 12 Mathematics is the best resource.
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.
RD Sharma Solutions for Class 12 Chapter 19 – Indefinite Integrals Exercise 19.20
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:
Solution:
Solution:
⇒ 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),
Or I = log|(x – 2)/(x + 3)| + x + c
Solution:
Solution:
Solution:
Hence,
Comments