How the integral in equation 1 is calculated into equation 3 depicted in the attached picture using equation 2?
When we try to search the answer in Wolfram Mathematica the answer is as follows (see the picture).
Without seeing the attached picture and the context surrounding equations 1 and 3, it's difficult to provide a specific answer. However, I can give a general overview of how integrals can be calculated and how they might be related to other equations.
An integral is a mathematical concept that represents the area under a curve. It is often used to calculate things like displacement, velocity, and acceleration in physics, or to find the total value of a function over a specific interval. The process of calculating an integral is called integration.
There are several methods for calculating integrals, including substitution, integration by parts, and partial fraction decomposition. The specific method used depends on the complexity of the function being integrated and the available tools and techniques.
In terms of how integrals might relate to other equations, it's possible that equation 1 is a differential equation, which describes the rate of change of a variable over time. Integrating this equation might give equation 3, which represents the value of the variable at a given point in time. However, this is just one possible scenario, and without more information, it's difficult to say for sure.
In summary, integrals are a mathematical concept used to calculate the area under a curve, and there are several methods for calculating them. They can be related to other equations in a variety of ways, depending on the context and the specific equations involved
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