Find $\int$ $\left( \frac { 6 } { 5 } x ^ { 5 } + 4 e ^ { - 2 x } \right)$

question 126

Multiple Choice

Find: $\int$ $\left( \frac { 6 } { 5 } x ^ { 5 } + 4 e ^ { - 2 x } \right)$ dx

• A) \(6 x ^ { 6 }\) - 2 \(e ^ { - 3 x }\) + C
• B) \(6 x ^ { 4 }\) - 8 \(e ^ { - 2 x }\) + C
• C) \(6 x ^ { 6 }\) - 2 \(e ^ { - 2 x }\) + C
• D) \(\frac { 1 } { 5 }\) \(x ^ { 6 }\) - 2 \(e ^ { - 2 x }\) + C

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Definitions:

Chemical Digestion

The breakdown of complex food substances into simpler forms that the body can absorb, involving enzymes and other substances.

Organic Molecules

Chemical compounds containing carbon atoms bonded to other atoms, characteristic of living organisms but also found in some man-made substances.

Duodenum

The initial part of the small intestine right after the stomach, primarily responsible for the bulk of chemical digestion.

Elimination

The process of removing waste substances from the body, performed by the excretory organs such as the kidneys, liver, skin, and lungs.