evaluate-the-integral-int-frac1x-3x-2-dx

Question

Evaluate the integral ∫1(x−3)(x+2) dx \int \frac{1}{(x - 3)(x + 2)} \, dx .

Accepted Answer

15ln⁡∣x−3x+2∣+C\frac{1}{5}\ln\left|\frac{x - 3}{x + 2}\right|+C

Answer

15ln⁡∣x+2x−3∣+C\frac{1}{5}\ln\left|\frac{x+2}{x-3}\right|+C

Answer

−15ln⁡∣x+2x−3∣+C-\frac{1}{5}\ln\left|\frac{x+2}{x-3}\right|+C

Answer

−15ln⁡∣x−3x+2∣+C-\frac{1}{5}\ln\left|\frac{x - 3}{x + 2}\right|+C

Evaluate the integral ∫1(x−3)(x+2)dx \(\int\) \(\frac{1}{(x - 3)(x + 2)}\) \, dx .