\int \frac{ln\left(\frac{x}{3}\right)}{\sqrt[3]{x^4}}dx

asked by guest
on Nov 29, 2024 at 5:54 pm



You asked:

Evaluate the integral: \(\int{\frac{\ln\left( \frac{x}{3} \right)}{\sqrt[3]{{x}^{4}}}}dx\)

MathBot Answer:

Antiderivative

\[\int{\frac{\ln\left( \frac{x}{3} \right)}{\sqrt[3]{{x}^{4}}}}dx = - \frac{9 x}{\sqrt[3]{x^{4}}} - \frac{3 x \log{\left(x \right)}}{\sqrt[3]{x^{4}}} + \frac{3 x \log{\left(3 \right)}}{\sqrt[3]{x^{4}}} + C\]