Let \[ I = \int {\frac{{3x - 1}}{{\sqrt {{x^2} + 9} }}} dx\] \[I = \int {\frac{{3x}}{{\sqrt {{x^2} + 9} }}} dx - \int {\frac{1}{{\sqrt {{x^2} + 9} }}} dx\] \[ I = {I_1} - {I_2}\] Now, \[ {I_1} = \int {\frac{{3x}}{{\sqrt {{x^2} + 9} }}} \] Let's put \[ {x^2} + 9…
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