Abstract: Formulas are derived giving the vector potential and the magnetic field components of a general coil of rectangular cross section and constant winding density. The solution is given in a ...

Abstract: Teaching techniques of integration can be tedious and often uninspired. We present an obvious but underutilized approach for finding antiderivatives of various trigonometric functions using ...

For importance of the trigonometric integrals, we have in this paper finding a series of power, some of trigonometric functions that did not exist before in the first section. As shown in the Section ...

\item If $m=2k+1$ is odd, then we save a factor of $\sin x\dee x = -\dee(\cos x)$ and use identity $\sin^2 x + \cos^2 x = 1$ to write \int \sin^m x \cos^n x\dee x ...