Use the Trapezoidal Rule and Simpson\'s Rule to approximate the value of the def

Question

Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n. Round your answers to four decimal places and compare the results with the exact value of the definite integral. Integral 0 to 1 x^2 dx , n = 4. Use the Trapezoidal Rule and Simpson?s Rule to approximate the value of the definite integral for the given value of n. Round your answer to four decimal places and compare the results with the exact value of the definite integral. Integral 0 to 7 x^2 dx, n = 6

Explanation / Answer

1)

Trapezoidal: 0.3437

Simpson's rule :0.3333

exact: 1/3

2)

Exact :114

Trapezoidal :115

Simpson:114

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