JEE MAIN - Mathematics Hindi (2021 - 25th February Evening Shift - No. 4)
समाकल $$\int {{{{e^{3{{\log }_e}2x}} + 5{e^{2{{\log }_e}2x}}} \over {{e^{4{{\log }_e}x}} + 5{e^{3{{\log }_e}x}} - 7{e^{2{{\log }_e}x}}}}} dx$$, x > 0, का मान है : (जहां c एक स्थिरांक है)
$${\log _e}\sqrt {{x^2} + 5x - 7} + c$$
$$4{\log _e}|{x^2} + 5x - 7| + c$$
$${1 \over 4}{\log _e}|{x^2} + 5x - 7| + c$$
$${\log _e}|{x^2} + 5x - 7| + c$$
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