Let $$f(x) = \int {{{2x} \over {({x^2} + 1)({x^2} + 3)}}dx} $$. If $$f(3) = {1 \over 2}({\log _e}5 - {\log _e}6)$$, then $$f(4)$$ is equal to
- A$${\log _e}19 - {\log _e}20$$
- B$${\log _e}17 - {\log _e}18$$
- C$${1 \over 2}({\log _e}19 - {\log _e}17)$$
- D$${1 \over 2}({\log _e}17 - {\log _e}19)$$
✓ Correct answer: D
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