This question is incomplete. Because it lacks the diagram of the Rectangular prism. Find attached to this answer the appropriate diagram.
Answer:
295.2 cm³
Step-by-step explanation:
A Rectangular Prism is a 3 dimensional geometric shape.
The formula used to calculate the volume of the Rectangular Prism = Length × Width × Height
Length = 15cm
Height = 4.8cm
Width = 4.1cm
Volume of the Rectangular Prism = 15cm × 4.8cm × 4.1cm
= 295.2 cm³
The limit as a definite integral on the interval on [2π , 4π] is
.
<h3>What is meant by definite integral?</h3>
A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.
Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.
If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.
Let the equation be
substitute the values in the above equation, we get
= on [2π, 4π],
simplifying the above equation
To learn more about definite integral refer to:
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First we'll substitute with
Then we can separate this.
Then we'll solve this.
Then we'll plug in to find the extraneous solutions (if any)