Mathematica applies its strengths in calculus to the intricacies of integral transforms, with a host of original algorithms that probably now reach almost any closed form ...
LogIntegral[z] is the logarithmic integral function li(z).
CosIntegral[z] gives the cosine integral function Ci(z).
CoshIntegral[z] gives the hyperbolic cosine integral Chi(z).
Numerical integration functions. This finds a numerical approximation to the integral ∫_(0)^∞ e^-x^3 x. Here is the numerical value of the double integral ∫_(-1)^1 dx ...
SinhIntegral[z] gives the hyperbolic sine integral function Shi(z).
ExpIntegralE[n, z] gives the exponential integral function E_n (z).
SinIntegral[z] gives the sine integral function Si(z).
ExpIntegralEi[z] gives the exponential integral function Ei(z).
NormalsFunction is an option for Plot3D and related functions that specifies a function to apply to determine the effective surface normals at every point.