Find the Indefinite Integral $\int 2 x e ^ { 4 x ^ { 2 } } d x$

question 67

Multiple Choice

Find the indefinite integral. $\int 2 x e ^ { 4 x ^ { 2 } } d x$

• A) \(16 x ^ { 2 } e ^ { 4 x ^ { 2 } } + C\)
• B) \(\frac { 1 } { 4 } x e ^ { 4 x ^ { 2 } } + C\)
• C) \(\frac { 1 } { 4 } e ^ { 4 x ^ { 2 } } + C\)
• D) \(\frac { 1 } { 2 } e ^ { 4 x ^ { 2 } } + C\)
• E) \(8 x e ^ { 4 x ^ { 2 } } + C\)

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Definitions:

Radioactive Isotopes

Atoms of the same element with different numbers of neutrons, making them unstable and subject to radioactive decay.

Cell Membranes

Biological membranes that separate and protect the interior of a cell from its surrounding environment, consisting of a lipid bilayer with embedded proteins.

Human Cells

The basic structural, functional, and biological units of the human body, essential to all of the body's processes and functions.

Hydrophobic

Type of molecule that is typically nonpolar and therefore does not interact easily with water.