Find the Indefinite Integral $\int t \sqrt { 4 t + 9 } d t$

question 2

Multiple Choice

Find the indefinite integral. $\int t \sqrt { 4 t + 9 } d t$

• A) \(\frac { ( 4 t + 9 ) ^ { 3 / 2 } ( 2 t + 3 ) } { 20 } + C\)
• B) \(\frac { ( 4 t + 9 ) ^ { 3 / 2 } ( 2 t - 6 ) } { 20 } + C\)
• C) \(\frac { ( 4 t + 9 ) ^ { 3 / 2 } ( 2 t - 3 ) } { 20 } + C\)
• D) \(\frac { ( 4 t - 9 ) ^ { 3 / 2 } ( 2 t + 3 ) } { 20 } + C\)
• E) \(\frac { ( 4 t + 9 ) ^ { 3 / 2 } ( 2 t + 6 ) } { 20 } + C\)

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Definitions:

Dull Lectures

Boring or unenthusiastic presentations or talks, often resulting in little interest or engagement from the audience.

Marginal Cost

The rise in expense associated with the production of an extra good or service unit.

Marginal Rate of Substitution

The measure of how much of one good a consumer can give up in favor of another, without impacting their level of well-being.

Socially Efficient

A situation in which an outcome benefits society as a whole and resources are allocated in the most beneficial manner from a societal perspective.