Evaluate the Integral $\int \left( x ^ { 2 } - 8 \right) e ^ { 5 x } \mathrm {~d} x$

question 105

Multiple Choice

Evaluate the integral. $\int \left( x ^ { 2 } - 8 \right) e ^ { 5 x } \mathrm {~d} x$

• A) \(\frac { e ^ { 5 x } } { 125 } \left( 25 x ^ { 2 } - 10 x - 198 \right) + C\)
• B) \(\frac { e ^ { 5 x } } { 125 } \left( 25 x ^ { 2 } - 10 x + 202 \right) + C\)
• C) \(\frac { e ^ { 5 x } } { 125 } \left( 25 x ^ { 2 } - 10 x + 198 \right) + C\)
• D) \(\frac { e ^ { 5 x } } { 125 } \left( 25 x ^ { 2 } + 10 x - 202 \right) + C\)
• E) \(\frac { e ^ { 5 x } } { 5 } \left( 25 x ^ { 2 } - 10 x - 201 \right) + C\)

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Definitions:

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The process by which individuals change their behavior to align with the group due to the belief that the group is competent and has the correct information.

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The phenomenon where individuals within a group share and mirror the emotional states of each other.

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The tendency for people to perform differently when in the presence of others than when alone, typically performing better on simple or practiced tasks.

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The involuntary reaction consisting of rhythmical, often audible contractions of the diaphragm and other parts of the respiratory system, frequently a response to humor.