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AP EAMCET2003MathematicsIndefinite Integration

1+x+ x+x^2 x + 1+x d x is equal to

Options

  1. A1 2 1+x +C
  2. B2 3 (1+x)^ 3 / 2 +C
  3. C1+x +C
  4. D2(1+x)^ 3 / 2 +C

Correct answer

B. 2 3 (1+x)^ 3 / 2 +C

Step-by-step solution

1+x+ x+x^2 x + 1+x d x= (1+x)+ x(1+x) x + 1+x d x= 1+x ( 1+x + x ) x + 1+x d x= 1+x d x= (1+x)^ 3 / 2 3 / 2 +C= 2 3 (1+x)^ 3 / 2 +C

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