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user599310, I am going to attempt some pseudo math to show it I2 int e-x2 dx times int e-x2 dx Area times Area Area2 We can replace one x, with a dummy variable, move the dummy copy into the first integral to get a double integral. I2 int int e -x2-y2 dA In context, the integrand a function that returns ... This aspect of What Is The Integral Of 1x Mathematics Stack Exchange plays a vital role in practical applications.
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The integral which you describe has no closed form which is to say that it cannot be expressed in elementary functions. For example, you can express int x2 mathrm dx in elementary functions such as frac x3 3 C. This aspect of What Is The Integral Of 1x Mathematics Stack Exchange plays a vital role in practical applications.
Furthermore, how do you know it's legal to switch the summation and the integral? I know you can do it with finite sums but I thought there were certain conditions under which it invalid to switch them. This aspect of What Is The Integral Of 1x Mathematics Stack Exchange plays a vital role in practical applications.
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Furthermore, using "indefinite integral" to mean "antiderivative" (which is unfortunately common) obscures the fact that integration and anti-differentiation really are different things in general. This aspect of What Is The Integral Of 1x Mathematics Stack Exchange plays a vital role in practical applications.
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user599310, I am going to attempt some pseudo math to show it I2 int e-x2 dx times int e-x2 dx Area times Area Area2 We can replace one x, with a dummy variable, move the dummy copy into the first integral to get a double integral. I2 int int e -x2-y2 dA In context, the integrand a function that returns ... This aspect of What Is The Integral Of 1x Mathematics Stack Exchange plays a vital role in practical applications.
Furthermore, solving the integral of e x2 - Mathematics Stack Exchange. This aspect of What Is The Integral Of 1x Mathematics Stack Exchange plays a vital role in practical applications.
Moreover, using "indefinite integral" to mean "antiderivative" (which is unfortunately common) obscures the fact that integration and anti-differentiation really are different things in general. This aspect of What Is The Integral Of 1x Mathematics Stack Exchange plays a vital role in practical applications.
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