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COMEDK2017MathematicsIndefinite Integration

Evaluate 1 x+ 3 x d x .

Options

  1. A| ( x 2 ) |+C
  2. B- 1 2 | ( x 2 + 6 ) |+C
  3. C1 2 | ( x 2 + 6 ) |+C
  4. DNone of the above

Correct answer

C. 1 2 | ( x 2 + 6 ) |+C

Step-by-step solution

We have, aligned 1 x+ 3 x d x &= 1 2 d x 1 2 x+ 3 2 x &= 1 2 1 (x+ 3 ) d x= 1 2 cosec (x+ 3 ) d x &= 1 2 | ( x 2 + 6 ) |+C aligned

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