Question: (a) Use the trapezium rule with h = 0.25 to evaluate 1 0 x dx. Compare your answer with the exact value, 2/3 .
(a) Use the trapezium rule with h = 0.25 to evaluate ∫10√x dx. Compare your answer with the exact value, 2/3 .
(b) Put x = t2 in the integral and again evaluate it using the trapezium rule with four strips. Compare your answer with the exact value and with the answer found in (a).
(c) Examine the global truncation errors in both cases and draw some general conclusions.
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a b c The second form of the integral is easier to evaluate n... View full answer
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