Crazy Calculus!

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Across
  1. 5. Name of a function that gives a continuous extension of the factorial
  2. 6. The namesake of a limit calculating formula where the derivative of both parts of the fraction is taken
  3. 7. Calculus is used to measure the spread rate of diseases in this discipline
  4. 8. Best Mathematician Ever, his most famous constant wasn't discovered by him however
  5. 9. Riemann's favorite sum
Down
  1. 1. Use the gamma distribution to predict wait time in this field of mathematics
  2. 2. W Teacher
  3. 3. This function can be used to approximate primes and performs its namesake task on 1/ln(x)
  4. 4. Newton and Leibniz's debate