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AP EAMCET201726 Apr 2017Morning ShiftMathematicsIndefinite IntegrationActual

x^ e-1 +e^ x-1 x^e+e^x d x=

Options

  1. A-1 e |x^e+e^x |+ C
  2. B-e |x^ e + e ^x |+ C
  3. C1 e |x^e+e^x |+ C
  4. De |x^ e + e ^x |+ C

Correct answer

C. 1 e |x^e+e^x |+ C

Step-by-step solution

aligned & (e x^ e-1 +e^x ) d x=d t & e (x^ e-1 + e^x e ) d x=d t & e (x^ e-1 +e^ x-1 ) d x=d t aligned Now, putting values from Eqs. (ii) and (iii) in Eq. ( i ) aligned & I= 1 e d t t = 1 e |t|+C & = 1 e |x^e+e^x |+C aligned

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