Simpler first example

[KronosTheLate]

I can imagine a non-trivial portion of users only want to perform 1D integrals. A simple example showing how a numerical integral of cosine equals sine would be:

julia> using Integrals

julia> f(x, p) = cos(x)
f (generic function with 1 method)

julia> my_sin(x) = solve(IntegralProblem(f, 0, x), HCubatureJL()).u 
my_sin (generic function with 1 method)

julia> # `my_sin` is a numerical approximation of sin

julia> # The integration constant is zero

julia> let x = rand(10)
           @. my_sin(x) ≈ sin(x)
       end
10-element BitVector:
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1

This example does the problem specification, solving, and solution extraction in a single line and of course therefore not be the first example. But something to that flavor.

[ChrisRackauckas]

Yes, this would be a good thing to add.