Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Evaluate :
(i) 
(ii) 
(iii) 
(iv) 
dx
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) Ι = 
;
Ι = 
using 
⇒ 2 Ι = 
= 
(ii) Ι = 
Ι = 
⇒ 2 Ι = π 
⇒ Ι = 
By using property (v)
= 2 
By applying Wallis formulae
= 
= 
(iii) Ι = 
Let x = 2 sin 2 θ ⇒ dx = 4sin θ cos θ d θ
Ι = 
= 16 
= 16 
[Using walli's formula]
= 
(iv) Ι = 
= 
Ι = π 
= 
= 
= 
dx = 
= 
(2 π ) = 
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