MathematicsMedium64×since 2004Q4034Let f(x)=∫2x(x2+1)(x2+3)dxf(x) = \int {{{2x} \over {({x^2} + 1)({x^2} + 3)}}dx}f(x)=∫(x2+1)(x2+3)2xdx. If f(3)=12(loge5−loge6)f(3) = {1 \over 2}({\log _e}5 - {\log _e}6)f(3)=21(loge5−loge6), then f(4)f(4)f(4) is equal toAloge19−loge20{\log _e}19 - {\log _e}20loge19−loge20Bloge17−loge18{\log _e}17 - {\log _e}18loge17−loge18C12(loge19−loge17){1 \over 2}({\log _e}19 - {\log _e}17)21(loge19−loge17)D12(loge17−loge19){1 \over 2}({\log _e}17 - {\log _e}19)21(loge17−loge19)Check answerSkip