Use a Riemann Sum to Approximate the Area Under the Graph

question 65

Short Answer

Use a Riemann sum to approximate the area under the graph of $f ( x ) = x ^ { 3 } , 1 \leq x \leq 3 , n = 4$ Use the midpoints of the intervals.
Enter your answer as just a reduced fraction of form $\frac { a } { b }$ .

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Definitions:

Greenhouse Effect

A natural process where certain gases in Earth's atmosphere trap heat, keeping the planet warm enough to support life.

UV Radiation

Ultraviolet radiation, a type of energy emitted by the sun that can cause skin damage, including sunburn and skin cancer.

Troposphere

The lowest layer of Earth's atmosphere, where weather occurs and where most atmospheric water vapor exists.

Greenhouse Gases

Gases in Earth's atmosphere, such as carbon dioxide and methane, that trap heat, leading to a warming effect known as the greenhouse effect.