का मान क्या है?

  1. ln (x - 1) + 4 ln (x + 4) + c
  2. ln (x - 1) - ln (x + 4) + c
  3. ln (x + 1) - 4 ln (x - 4) + c
  4. 4 ln (x + 1) - ln (x - 4) + c

Answer (Detailed Solution Below)

Option 1 : ln (x - 1) + 4 ln (x + 4) + c
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Detailed Solution

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संकल्पना:

समाकल गुण:

  • ∫ xn dx = + C ; n ≠ -1
  •  + C
  • ∫ edx = ex+ C
  • ∫ adx = (ax/ln a) + C ; a > 0,  a ≠ 1
  • ∫ sin x dx = - cos x + C
  • ∫ cos x dx = sin x + C

 

गणना:

I = 

I = 

I = 

I = 

I = ln (x - 1) + 4 ln (x + 4) + c

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