- #1
yaho8888
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Homework Statement
[tex] \int \pi (\frac{x}{3})^2 dx [/tex]
how can you tell whather this equation is for hemisphere or cone.
no idea how to start.
An integral is a mathematical concept that represents the area under a curve. It is used to find the total accumulation of a quantity over an interval.
To solve an integral, you must use integration techniques such as substitution, integration by parts, or trigonometric substitution. You must also have knowledge of the fundamental theorem of calculus.
A hemisphere is a 3-dimensional shape that looks like half of a sphere, while a cone is a 3-dimensional shape with a circular base that tapers to a point at the top.
To determine if an integral represents a hemisphere or a cone, you must analyze the limits of integration and the function being integrated. If the integral has a radius term and the limits are from 0 to a positive number, it represents a hemisphere. If the integral has a height term and the limits are from 0 to a positive number, it represents a cone.
Solving for a hemisphere or a cone can help in various real-life applications, such as calculating the volume or surface area of a shape. It can also be used in physics and engineering to determine the distribution of mass or electric charge within a region.