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Such an integral looks difficult to manage; clearly it is a case of integration by parts, but neither part of the product appears to reduce easily into a nicer form. The key here is use the fact that sinx ha...

It has been shown that replacing the justification condition in the classical account of knowledge is neither necessary, nor sufficient, to grant a person knowledge. Consider a person driving through 'Barn F...

The electromotive force or emf of a cell in a circuit is, for a start, not a force at all: it has the unit of volts. A good definition is ‘the power supplied by the cell per unit current through the cell’ or...

When do you use n choose k ? Say you have n objects/elements, and each one can either be selected or not selected. ‘ n choose k ’ gives you the number of different ways in which you can end up with k selecte...

The evolution of heat from a reaction is often classified as being exothermic or endothermic, but how do you know which one it is in order to assign the appropriate sign? A simple way to be sure of which typ...