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.
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
Access answers to Maths 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
Comments