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Manipal MET2017MathematicsIndefinite Integration

(e^ a x +e^ x a ) d x is equal to

Options

  1. Ax^ a+1 a+1 +c
  2. Bx^ a+1 a+1 + a^x a +c
  3. Cx^ a+1 +a^x+c
  4. Dx^ a+1 a-1 + a a^x +c

Correct answer

B. x^ a+1 a+1 + a^x a +c

Step-by-step solution

aligned & (e^ a x +e^ x a ) d x= (e^ x^a +e^ a^x ) d x = & (x^a+a^x ) d x= x^ a+1 a+1 + a^x _e a +c aligned

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