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Consider the Integral 005cos(x3)dx\int _ { 0 } ^ { 05 } \cos \left( x ^ { 3 } \right) d x

Question 6

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Consider the integral 005cos(x3)dx\int _ { 0 } ^ { 05 } \cos \left( x ^ { 3 } \right) d x Approximating it by the Midpoint Rule with n equal subintervals, give an estimate for n which guarantees that the error is bounded by 1104.\frac { 1 } { 10 ^ { 4 } } .

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