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Most Important Selected Qs for JEE AdvancedMathematicsIndefinite Integration

e^ x^4 (x+x^3+2 x^5 ) e^ x^2 d x is equal to

Options

  1. A1 2 x e ^ x ^2 e^ x ^4 +c
  2. B1 2 x^2 e^ x^4 +c
  3. C1 2 e^ x^2 e^ x^4 +c
  4. D1 2 x^2 e^ x^2 e^ x^4 +c

Correct answer

D. 1 2 x^2 e^ x^2 e^ x^4 +c

Step-by-step solution

Put x^2=tI= 1 2 e^t [t e^ t^2 + (e^ t^2 +2 t^2 e^ t^2 ) ] d t

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