∫ 𝑥^3/
(𝑥−2)(𝑥+3)
𝑑𝑥
You asked:
Evaluate the integral: \(\int{\frac{{x}^{3}}{\left(x - 2\right) \cdot \left(x + 3\right)}}dx\)
MathBot Answer:
Antiderivative
\[\int{\frac{{x}^{3}}{\left(x - 2\right) \cdot \left(x + 3\right)}}dx = \frac{x^{2}}{2} - x + \frac{8 \log{\left(-2 + x \right)}}{5} + \frac{27 \log{\left(3 + x \right)}}{5} + C\]