Evaluate Exactly $\int_{-1}^{5} x e^{x} d x$

question 134

Essay

Evaluate exactly: $\int_{-1}^{5} x e^{x} d x$ .

---

Definitions:

Cortisol

The primary stress hormone; fluctuations in the body’s cortisol level affect human emotions.

Lipid

A class of organic compounds that are fatty acids or their derivatives and are insoluble in water but soluble in organic solvents. They are used by the body for energy storage and structural functions.

Lymphoid System

Part of the immune system, composed of structures and cells like lymph nodes and lymphocytes that help protect the body from infection and disease.

Skin Oils

Natural oils produced by the skin, known as sebum, which help to protect and moisturize the skin, keeping it healthy.