For 10 points, name this operation that is performed on a function with respect to "d t".
Computing the expected value of this operation, when it defines a stochastic process, can be done by solving a partial differential equation, as in the Feynman-Kac formula for Brownian motion. This operation applied to the difference between kinetic and potential energy yields a functional that any system "minimizes" when it follows a path. The voltage in a capacitor is equal to the reciprocal of capacitance (*) times this operation applied to the current, plus the voltage at time zero. When this operation is applied to the Lagrangian, it gives the action; for momentum, it gives the force; for power, it gives the energy. This operation can be used to find the displacement by finding the area under a curve on a graph of velocity versus this operation's namesake variable. For 10 points, name this operation that is performed on a function with respect to "d t".
Computing the expected value of this operation, when it defines a stochastic process, can be done by solving a partial differential equation, as in the Feynman-Kac formula for Brownian motion.
time integral [or integral with respect to time; prompt on “integral”] &lt;Garg&gt;