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Use the trapezoidal rule to approximate ∫₀²x³x, using three non-uniform partitions at {0,0.5,1,5,2}.
a. (0³+0.5³)(1)+(0.5³+1.5³)(1)+(1.5³+2³)(1)
b. (0³+0.5³)(0.5)+(0.5³+1.5³)(1)+(1.5³+2³)(0.5)
c. 0.5[(0³+0.5³)(0.5)+(0.5³+1.5³)(1)+(1.5³+2³)(0.5)]
d. 0.5[(0³+0.5³)(0.5)+(0.5³+1.5³)(0.5)+(1.5³+2³)(0.5)]

Sagot :

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