This gives the meaning of the terms as generally understood in the middle of the 18th century. Robert Hooper's Physician's Vade-Mecum, published in 1812 has been used as a source of terms in the early 19th century; many of the terms mentioned are still in common use.
In either case, the value at x = 0 is defined to be the limiting value sinc(0) = 1. The normalization causes the definite integral of the function over the real numbers to equal 1 (whereas the same integral of the unnormalized sinc function has a value of Ï).
Doing the integral math, we pull out (1/1000). The integral of a cosine function is a sine function. Doing the math, this gives us 0.002sin(1000t)V or 2sin(1000t) mV. To calculate this result through a calculator to check your answers or just calculate problems, see our online calculator, Capacitor Voltage Calculator.