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The integral ∫ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + + + − − 3 3 1 6 12 2 8 x 1 x tan ) 1 x 3 x ( dx ) x x ( is equal to:

1. log e ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − 3 3 1 x 1 x tan + C
2. log e 3 3 3 1 x 1 x tan ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − + C
3. log e 3 / 1 3 3 1 x 1 x tan ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − + C
4. log e 2 / 1 3 3 1 x 1 x tan ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − + C

Correct answer: log e 3 / 1 3 3 1 x 1 x tan ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − + C

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