Find the Integral $\int x^{5} \ln x d x$ A) $\frac{1}{6} x^{6}(6 \ln x-1)+C$

question 87

Multiple Choice

Find the integral. $\int x^{5} \ln x d x$

• A) \(\frac{1}{6} x^{6}(6 \ln x-1)+C\)
• B) \(\frac{1}{36} x^{6}(\ln x-1)+C\)
• C) \(\frac{1}{6} x^{5}+\frac{1}{x}+C\)
• D) \(\frac{1}{36} x^{6}(6 \ln x-1)+C\)

---

Definitions:

Cirrhosis

A chronic liver disease characterized by scarring (fibrosis) of liver tissue, which can lead to liver failure and other complications.

Liver

A large organ in the body that processes nutrients, detoxifies harmful substances, and produces bile.

Alcohol

A chemical compound known as ethanol found in beverages such as beer, wine, and spirits, often consumed recreationally and capable of altering consciousness and behavior.

Pancreatic Lipase

An enzyme that digests lipids.