Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Evaluate :
(i) 
(ii) 
(iii) 
(iv) 
(v) 
dx
Correct Matrix Matching
Text Solution
Verified by ExpertsThe correct answer is:
(i) (ii); (iv) (v)
(i) 
(ii) 
(iii) n 
(iv) 
(v) 
Sol. (i) 
= 
e x = t ⇒ e x dx = dt ⇒ Ι = 
= 
= 
(ii) Ι = 
= 
+ 
Let 1 + 
= t ⇒ 
⇒ dx = 2(t – 1) dt
⇒ Ι 1 = 2 
= 
= 2 – 2 n2 – 
= 
= 
. Ans.
(iii) Ι = 
cosx = t ⇒ – sinx dx = dt ⇒ 
Ι = 
= 
– 
= 
– 
= 
= 
(iv) Ι = 
= 
Let tan θ = t ⇒ sec 2 θ d θ = dt ⇒ 
Let t 2 = u ⇒ 2tdt = du ⇒ 
= 
(v) Ι = 
using 
= 
⇒ Ι = 
⇒ Ι = 
= 
= 
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