Find the Indefinite Integral of the Following Function and Check $$\int ( 5 - s ) \sqrt { s } d s$$

question 135

Multiple Choice

Find the indefinite integral of the following function and check the result by differentiation. $$\int ( 5 - s ) \sqrt { s } d s$$

• A) \(\frac { 10 } { 3 } s ^ { \frac { 3 } { 2 } } + \frac { 5 } { 2 } s ^ { \frac { 5 } { 2 } } + C\)
• B) \(\frac { 10 } { 3 } s ^ { \frac { 3 } { 2 } } - \frac { 2 } { 5 } s ^ { \frac { 5 } { 2 } } + C\)
• C) \(\frac { 5 } { 3 } s ^ { \frac { 3 } { 2 } } - \frac { 2 } { 5 } s ^ { \frac { 5 } { 2 } } + C\)
• D) \(\frac { 5 } { 3 } s ^ { \frac { 3 } { 2 } } - \frac { 5 } { 2 } s ^ { \frac { 5 } { 2 } } + C\)
• E) \(\frac { 10 } { 3 } s ^ { \frac { 3 } { 2 } } - \frac { 5 } { 2 } s ^ { \frac { 5 } { 2 } } + C\)

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Definitions:

Magmatism

Geological processes related to the formation, movement, and solidification of magma or molten rock beneath or at the Earth's surface.

East Pacific Rise

A Mid-Oceanic Ridge in the eastern Pacific Ocean associated with a divergent tectonic plate boundary where new oceanic crust is formed through volcanic activity.

Accretionary Prism

A prism-shaped pile of rock and sediment detached from the upper part of a descending tectonic plate and adhered to the plate above it at a collision zone between tectonic plates.

Subduction Zone

The region where one tectonic plate moves under another, leading to volcanic activity and earthquakes.