\int \frac{ln\left(\frac{x}{3}\right)}{\sqrt[3]{x^4}}dx
You asked:
Evaluate the integral: \(\int{\frac{\ln\left( \frac{x}{3} \right)}{\sqrt[3]{{x}^{4}}}}dx\)
MathBot Answer:
Antiderivative
\[\int{\frac{\ln\left( \frac{x}{3} \right)}{\sqrt[3]{{x}^{4}}}}dx = - \frac{9 x}{\sqrt[3]{x^{4}}} - \frac{3 x \log{\left(x \right)}}{\sqrt[3]{x^{4}}} + \frac{3 x \log{\left(3 \right)}}{\sqrt[3]{x^{4}}} + C\]