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AP EAMCET2006MathematicsIndefinite Integration

If x a^3-x^3 d x=g(x)+c , then g(x) is equal to :

Options

  1. A2 3 ⁻¹ x
  2. B2 3 ⁻¹ ( x^3 a^3 )
  3. C2 3 ⁻¹ ( x^3 a^3 )
  4. D2 3 ⁻¹ ( x a )

Correct answer

C. 2 3 ⁻¹ ( x^3 a^3 )

Step-by-step solution

Let I= x a^3-x^3 d x= a^3 a^3-x^3 a^3 x^3 x^3 a^3 d x= 2 3 ⁻¹ ( x^3 a^3 )+c But I=g(x)+c g(x)= 2 3 ⁻¹ ( x^3 a^3 )

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