Question

integrate 1/3x^2+2x+5

Answer 1

$\huge \underline{ \underline{ \bf \purple{Solution :}}}$

$\implies \sf I= \int \frac{1}{ {3x}^{2}} + 2x + 5 \: dx \\ \\\implies \sf I= \int {3x}^{ - 2} + 2x + 5 \: dx\\ \\\implies \sf I= \frac{ {3x}^{ - 1} }{ - 1} + \frac{2 {x}^{2} }{2} + 5x \\ \\\implies \sf I= - \frac{1}{3x} + {x}^{2} + 5x$