 # RD Sharma Solutions for Class 12 Maths Exercise 19.2 Chapter 19 Indefinite Integrals

RD Sharma Solutions for Class 12 Maths Exercise 19.2 Chapter 19 Indefinite Integrals is provided here. The problems of the second exercise of this chapter are completely based on some standard results on integration.

$$\begin{array}{l}\frac{d}{dx}\int \left ( f(x) \, dx \right ) = f (x)\end{array}$$
is the main formula used while solving this exercise. This is created by our expert faculty in order to provide a clear understanding of important concepts by giving detailed explanations for the problems. This is a very useful tool for any student to get top marks in their Mathematics examinations.

To know more about these topics, students can refer to RD Sharma Solutions for Class 12 Maths Chapter 19 Exercise 19.2 from the below-provided links. Some of the crucial topics of this exercise are listed below.

• Some standard results on integration along with the corollary
• Integration of trigonometric functions
• Integration of exponential functions
• Miscellaneous problems

## RD Sharma Solutions for Class 12 Chapter 19 – Indefinite Integrals Exercise 19.2

### Exercise 19.2 Page No: 19.14

Evaluate the following integrals (1 – 44): Solution:  Solution:

Given    Solution:

Given  Solution:

Given,

∫(2 – 3x)(3 + 2x)(1 – 2x) dx

= ∫(6 + 4x – 9x – 6x2)(1 – 2x) dx

= ∫(6 – 5x – 6x2)(1 – 2x) dx

= ∫(6 – 5x – 6x2 – 12x + 10x2 + 12x3) dx

= ∫(6 – 17x + 4x2 + 12x3) dx

Upon splitting the above, we have

= ∫6 dx – ∫17x dx + ∫4x2 dx + ∫12x3 dx

On integrating using formula,

∫xn dx = xn+1/n+1

we get

= 6x – 17/(1+1) x1+1 + 4/(2+1) x2+1 + 12/(3+1) x3+1 + c

= 6x – 17x2/2 + 4x3/3 + 3x4 + c Solution:

Given   Solution:   Solution:

Given   Solution:

Given   Solution:   Solution:

Given   Solution:

Given   Solution:   Solution:

Given   Solution:

Given   Solution:

Given   Solution:

Given  ### Access other exercises of RD Sharma Solutions for Class 12 Chapter 19 – Indefinite Integrals

Exercise 19.1 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 19.20 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