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AP EAMCET202022 Sep 2020Morning ShiftMathematicsIndefinite IntegrationActual

e^ 3 x (x^4+1 )⁻¹ d x=

Options

  1. Ae^ 3 x +c
  2. B1 4 (x^4+1 )+c
  3. C1 3 (x^4+1 )+c
  4. Dx^4 x^4+1

Correct answer

B. 1 4 (x^4+1 )+c

Step-by-step solution

I= e^ 3 x (x^4+1 )⁻¹ d x= x^3 (x^4+1 )⁻¹ d x Let x^4+1=t 4 x^3 d x=d t I= 1 4 d t t = 1 4 _e(t)+C= 1 4 _e (x^4+1 )+C

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