Formula De Cuadriderm Can Anyone Prove These Formula And Solve This Math Problem?

Can anyone prove these formula and solve this math problem? - formula de cuadriderm

1.dx ^ n / d is the area under the curve.
2.De Moivre Formula
(sin cos a + ^ b) k = sin (ka) + cos (KB)
3.Oval zone.
4.10 13.33 20 26.66 40 46.66 60 66.66 80 100 ___?
"I had to prove the first formula, but to my way of showing that it is too easy, I see people differently.
"I believe that this formula is correct if you use the calculator using the formula, but said it was true that the guide presented with Olympic mathematical formula (1 / 1 ^ 2) + (1 / 2 ^ 2 are can) + (1 / 3 2 )+.....+( 1 / n ^ 2) is equal to (pi ^ 2) / 6.
"I tried this with the third formula
A = pi (((D1 ^ 2) + (89 * D1 * D2)) / 360), but some people think it is a = pi * R1 * R2