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

Short Answer

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