Question

integartion dx/3x²-16​

Answer 1

Step-by-step explanation:

We have,

$\int \frac{dx}{3 {x}^{2} - 16 }$

$= \int \frac{dx}{ {( \sqrt{3} x)}^{2} - {(4)}^{2} }$

$= \frac{1}{ \sqrt{3} } \times \frac{1}{2 \times 4} ln \: | \frac{ \sqrt{3}x - 4 }{ \sqrt{3} x + 4} | + c$

$= \frac{1}{8 \sqrt{3} }( ln \: | \sqrt{3} x - 4| - ln \: | \sqrt{3} x + 4| ) + c$