Question

How To Solve Integral Of :
(1+x)/(1-2x-(v^2))

Answer 1

\[\int\limits_{}^{} \frac{ 1+x }{ 1-2\times x - x^2}\] = ?

Answer 2

\[\int\limits \frac{1+x}{1-2 x-x^2} \, dx\]

Answer 3

Try u-sub
u=1-2x-x^2
\[du=-2-2x dx \\ \\ du=-2(1+x)dx \\ \\ -\frac{du}{2} \\ \\ -\frac{1}{2}\int\limits \frac{du}{u}\]

Answer 4

integral of 1/u is ln(u)
\[-\frac{1}{2}(\ln(u))+c \\ \\ -\frac{1}{2}\ln(1-2x-x^2)+c\]
Got it?

Answer 5

Good Job Dude :)