In this case, a constant C is included; however, in the following cases it will be omitted, on the assumption that readers are aware that indefinite integrals
should always include a constant.
7] Salahuddin, Hypergeometric Form of Certain Indefinite Integrals
, Global Journal of Science Frontier Research(F), 6(2012), No.
Then applying an indefinite integral
of the Bessel function (see [30, Page 35])
The algorithms in Mathematica cover all of the indefinite integrals
in standard reference books such as .
He pays special attention to formulas of derivatives of nth-order (with respect to the argument) and of the first derivatives (with respect to the parameter) for most elementary and special functions, covering the derivatives (including the Hurwitz zeta function and Fresnel integrals) limits (including special functions), indefinite integrals
(including elementary and special functions), definite integrals (including Bessel, Mcdonald, Struve, Kelvin, Legendre, Chebyshev, Hermite, Laguerre and Jacobi functions and polynomials), finite sums, infinite series, the connection formulas and representations of hypergeometric functions and of the Meijer G function.
d]) with respect to [psi], then we have the following formulas for definite and indefinite integrals
based on DE transformation which is given and fully discussed in [14, 15, 25]:
For instance, the calculus classes used not only questions which tested computational skills, such as evaluating indefinite integrals
, but also questions requiring deep understanding of the fundamental concepts.