Question

integrate the above image
i will give you star if you solve this properly​

Answer 1

Answer:

Integration of

$\frac{dx}{ {x}^{2} + 4x - 12} = \frac{dx}{(x + 2) {}^{2} - {4}^{2} } =$

is

$\frac{1}{2 \times 4} ln( \frac{x + 2 - 4}{x + 2 + 4} ) = \frac{1}{8} ln( \frac{x - 2}{x + 6} ) + c$