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AP EAMCET · Maths · Indefinite Integration

ex(x+3)(x+5)3dx=

  1. A ex(x+5)2+c
  2. B ex(x+5)2+c
  3. C ex(x+3)2+c
  4. D ex(x+3)2+c
Verified Solution

Answer & Solution

Correct Answer

(A) ex(x+5)2+c

Step-by-step Solution

Detailed explanation

Given that ∫ex(x+3)(x+5)3dx =∫ex(x+5-2)(x+5)3dx =∫ex(x+5)-2(x+5)3dx =∫ex  1x+52 -2x+53dx We know that ∫ex fx +f'x dx = exfx + c Here fx = 1x+52 & f'x = -2x+53…