![arXiv:math/0510054v2 [math.HO] 17 Aug 2006](http://s1.studyres.com/store/data/014467696_1-4b3b027c0fc1865fd923af6e7da50abe-300x300.png)
Method of external potential in solution of Cauchy mixed problem for
... research works are devoted to study Cauchy mixed problem for model heat equations because of its theoretical and practical importance. Among them we can notice monographers [1]-[3] which demonstrate main research methods, such as Fourier method, integral equations method and method of a priori estim ...
... research works are devoted to study Cauchy mixed problem for model heat equations because of its theoretical and practical importance. Among them we can notice monographers [1]-[3] which demonstrate main research methods, such as Fourier method, integral equations method and method of a priori estim ...
Fundamental theorem of calculus
The fundamental theorem of calculus is a theorem that links the concept of the derivative of a function with the concept of the function's integral.The first part of the theorem, sometimes called the first fundamental theorem of calculus, is that the definite integration of a function is related to its antiderivative, and can be reversed by differentiation. This part of the theorem is also important because it guarantees the existence of antiderivatives for continuous functions.The second part of the theorem, sometimes called the second fundamental theorem of calculus, is that the definite integral of a function can be computed by using any one of its infinitely-many antiderivatives. This part of the theorem has key practical applications because it markedly simplifies the computation of definite integrals.