# Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.3

## Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.3

Question 1.
Evaluate the following definite integrals:
(i) Solution: (ii) Solution:  (iii) Solution:  (iv) Solution: (v) Solution:   (vi) Solution:  Question 2.
Evaluate the following integrals using properties of integration :
(i) Solution: (ii) Solution:  (iii) Solution:  (iv) Solution: (v) Solution: (vi) Solution: (vii) Solution:    (viii) Solution:  (ix) Solution:   (x) Solution:  (xi) Solution:   ### Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.3 Additional Problems

Question 1. Solution:
Let f (x) = x3 sin2 x = x3 (sin x)2
∴f(-x) = (-x)3 (sin (-x))2 = (-x)3 (-sin x)2
= – x3 sin2 x = -f(x)
f(-x) = -f(x) ∴ f(x) is an odd function. Question 2. Solution: Question 3. Solution:
Let f(x) = x sin x
f(-x) = (-x)sin(-x)
= x sin x (∵ sin(-x) = – sin x)
∴ f(x) is an even function  Question 4. Solution: Question 5. Solution:  