How can you rewrite the exponential? Maybe try using Euler's formula if you aren't confident with the exponential.Dixanadu said:its the integration of measure, over 3 spatial dimensions
[itex]\int d^{3}x \hspace{2mm} e^{i(k\cdot x)}=(2\pi)^3\delta({\bf r})[/itex], the Dirac delta function.Dixanadu said:Hey guys,
if I have an integral of the form [itex]\int d^{3}x \hspace{2mm} e^{i(k\cdot x)}[/itex], how do I evaluate this?
Thanks a bunch...
The formula for the integral of an exponential function is ∫e^x dx = e^x + C, where C is the constant of integration.
To solve an integral with an exponential function, you can use the formula ∫e^x dx = e^x + C and use integration techniques such as u-substitution or integration by parts.
Yes, the integral of an exponential function can be negative. This can happen when the limits of integration are chosen in such a way that the area under the curve is below the x-axis.
The integral of an exponential function is the inverse operation of its derivative. This means that the integral and derivative "undo" each other, and the derivative of an integral is the original function.
Yes, the integral of an exponential function can be written in terms of other functions using integration by substitution or other integration techniques. For example, the integral of e^x can be written as ln(e^x) + C = x + C.