Solve the Problem $$\int _ { 0 } ^ { \infty } \frac { e ^ { - 3 x ^ { 2 } } - e ^ { - 6 x ^ { 2 } } } { x } d x$$

question 357

Multiple Choice

Solve the problem.
-Evaluate
$$\int _ { 0 } ^ { \infty } \frac { e ^ { - 3 x ^ { 2 } } - e ^ { - 6 x ^ { 2 } } } { x } d x$$
by writing the integrand as an integral.

• A) \(\frac { 1 } { 2 } \ln 2\)
• B) \(\frac { 1 } { 2 } \ln \frac { 1 } { 2 }\)
• C) \(\ln \frac { 1 } { 2 }\)
• D) \(\ln 2\)

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Definitions:

Phobias

Intense, irrational fears of specific objects, situations, or activities that lead to avoidance behavior.

Unconditioned

Refers to stimuli or responses that occur naturally without any prior learning or conditioning.

Specific Stimulus

A distinct environmental cue that elicits a particular response from an organism.

Specific Response

A particular reaction or behavior elicited by a specific stimulus or situation.