Calculate T 6 for the integral I 2 0 x 3 dx (a) Is T 6 too large or too small Explain graphically (b) Show that K 2 (2) may be used in the Error Bound and find a bound for the error (c) Evaluate I and check that the actual error is less than the bound computed in (b) ...

20 Let fx x Divide 02 into six subintervals of length Ax ...

Calculate T 6 for the integral I = 2 0 x 3 dx. (a) Is T

Question:

Calculate T₆for the integral I = ∫²₀x³dx.
(a) Is T₆too large or too small? Explain graphically.
(b) Show that K₂= |ƒ"(2)| may be used in the Error Bound and find a bound for the error.
(c) Evaluate I and check that the actual error is less than the bound computed in (b).