Consider the error formulas.

|E|(ba)³ /12n² [max|f''(x)|],axb Trapezoidal Rule

|E|(ba)⁵ /180n⁴ [max|f⁽⁴⁾(x)|],axb Simpson's Rule

Use these to estimate the errors in approximating the integral, withn= 4,using the Trapezoidal Rule and Simpson's Rule.

₀⁴ (x²+6x)dx

Trapezoidal Rule:________

Simpson's Rule:_________