cooltee13 said:ok, thanks guys lol. I feel dumb now
Isnt that just equal to 1?sutupidmath said:[tex]\int_{e^{x}}^{e^{2x}}(sin^{2}(t)+cos^{2}(t)-1)dt=\int_{e^{x}}^{e^{2x}}(1-1)dt=\int_{e^{x}}^{e^{2x}}(0)dt=?[/tex]
What does this equal to??
cooltee13 said:Isnt that just equal to 1?
How did u change your display name?rocomath said:Look at your limits of Integration
From 0 to Ln(1)
The purpose of integrating this expression is to find the area under the curve of the given function. This can help in calculating values such as displacement, velocity, and acceleration in physics or finding the probability of certain events in statistics.
The limits of integration, e^x and e^(2x), are chosen based on the given function and the desired outcome. In this case, they could represent the starting and ending points of a physical movement or the range of values in a statistical experiment.
This integral can be solved using basic integration techniques, such as the power rule and trigonometric identities. By expanding the expression and simplifying, the integral can be reduced to a basic form that can be easily integrated.
The result obtained from the integration represents the total area under the curve of the given function. This could have a physical interpretation, such as the displacement of an object, or a statistical interpretation, such as the probability of an event occurring within a certain range.
The integration of this expression can be applied in various fields, such as physics, engineering, economics, and statistics. For example, it can be used to calculate the work done by a force, the profit or loss of a business over a period of time, or the probability of an event occurring within a given range of values.