Indefinite integrals

• How to Integrate cos(1/x)
  The antiderivative of cos(1/x) is x cos(1/x) + Si(1/x) + C, where Si is the sine integral special function.
• How to Integrate the Incomplete Beta Function
  An antiderivative of the lower incomplete beta function is x B_x(a,b) − B_x(a+1,b) + C; the integral from 0 to 1 is B(a,b+1).