Evaluate the Integral $\int \left( 5 z ^ { 2 } e ^ { z } - 5 z e ^ { z ^ { 2 } } \right) \mathrm { d } z$

question 83

Multiple Choice

Evaluate the integral. $\int \left( 5 z ^ { 2 } e ^ { z } - 5 z e ^ { z ^ { 2 } } \right) \mathrm { d } z$

• A) \(5 \left( z ^ { 2 } + 2 z - 2 \right) e ^ { z } - \frac { 5 } { 2 } e ^ { z ^ { 2 } } + C\)
• B) \(5 \left( z ^ { 2 } + 2 z - 2 \right) e ^ { z } + \frac { 5 } { 2 } e ^ { z ^ { 2 } } + C\)
• C) \(5 \left( z ^ { 2 } - 2 z + 2 \right) e ^ { z } - \frac { 5 } { 2 } e ^ { z ^ { 2 } } + C\)
• D) \(5 \left( z ^ { 2 } - 2 z + 2 \right) e ^ { z } + \frac { 5 } { 2 } e ^ { z ^ { 2 } } + C\)
• E) \(5 \left( z ^ { 2 } - 2 z - 2 \right) e ^ { z } - \frac { 5 } { 2 } e ^ { z ^ { 2 } } + C\)

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Definitions:

Dysphagia

Difficulty or discomfort in swallowing, as a symptom of disease.

Stomatitis

Inflammation of the mouth and lips, which can result in soreness, ulcers, and swelling, often caused by infections, irritants, or underlying diseases.

Bolus

A small rounded mass of substance, especially of chewed food at the moment of swallowing.

Chyme

The semi-fluid mass of partly digested food that moves from the stomach to the small intestine.