in exercises 9 - 16, express\n9. $\\int \\frac{dx}{1 - x^{2}}$
in exercises 9 - 16, express\n9. $\\int \\frac{dx}{1 - x^{2}}$
Answer
Explanation:
Step1: Use the integral formula
We know that (\int\frac{dx}{1 - x^{2}}=\frac{1}{2}\ln\left|\frac{1 + x}{1 - x}\right|+C) (derived from partial - fraction decomposition or using the standard integral formula for (\frac{1}{a^{2}-x^{2}}) with (a = 1)).
Answer:
(\frac{1}{2}\ln\left|\frac{1 + x}{1 - x}\right|+C)