Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
dx = k n 
then k is equal to :
Text Solution
Verified by ExpertsThe correct answer is:
1
(1)
Sol. 
dx
Put xe sinx = t ⇒ (xe sinx . cosx + e sinx ) dx = dt ⇒ e sinx (x cosx + 1) dx = dt
⇒ Ι = 
= 
Let 
= 
1 = A (1 – t)(1+ t) + B(t) (1+t) + C(t)(1 – t)
put t = 0 ⇒ A = 1
Put t = 1 ⇒ B = 1/2
Put t = –1 ⇒ C = –1/2
⇒ Ι = 
= n |t| – 
n |1–t| – 
n |1+t| + C
= n |x e sinx | – 
log |1– x 2 e 2 sinx | + C = n 
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