The Risch Algorithm is a computer algebra method of

finding an indefinite integral. The basic idea behind

it is to transform each trigonometric expression in the

function to be integrated into an equivalent logarithmic

or exponential expression. Because all the sin's,

cosine's, tan's and hyperbolic trigonometric functions

are expressed using only two basic transcendental

functions, it is easier to simplify and combine these

expressions. The Risch Algorithm will produce a correct

result for any integrable function, and will tell you if

no such algebraic function exists.