JEE Math Practice Question
The integral $$\int {{{{e^{3{{\log }_e}2x}} + 5{e^{2{{\log }_e}2x}}} \over {{e^{4{{\log }_e}x}} + 5{e^{3{{\log }_e}x}} - 7{e^{2{{\log }_e}x}}}}} dx$$, x > 0, is equal to : (where c is a constant of integration)
- A.$${\log _e}\sqrt {{x^2} + 5x - 7} + c$$
- B.$$4{\log _e}|{x^2} + 5x - 7| + c$$
- C.$${1 \over 4}{\log _e}|{x^2} + 5x - 7| + c$$
- D.$${\log _e}|{x^2} + 5x - 7| + c$$
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