Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5

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Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5

Question 1.
Evaluate the following:
Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 1
Solution:
Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 2
Substitute (2) and (3) in (1), we get
Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 3

Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5

(ii) Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 4
Solution:
Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 5
Dividing both Numerator and Denominator by cos2 x
Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 6
Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 7

Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5

Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 Additional Problems

Question 1.
Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 8
Solution:
Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 9
Put 2 tan x, ∴ 2sc2 x dx = dt
Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 10

Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5

Question 2.
Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 11
Solution:
Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.5 12