Mathematics

Solve $$ \int {\frac{{3x - 1}}{{{{\left( {x + 2} \right)}^2}}}} dx$$


SOLUTION
Solution -
$$ \int \frac{3x-1}{(x+2)^{2}}dx $$

$$ = \int \frac{3x-1+7-7}{(x+2)^{2}}dx $$

$$ = \int \frac{3}{x+2}dx -7 \int \frac{dx}{(x+2)^{2}} $$

$$ = 3ln\left | x+2 \right |+\frac{7}{x+2}+c $$ 
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Subjective Medium Published on 17th 09, 2020
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