Determine How Many Subintervals Are Required to Guarantee Accuracy to Within

Short Answer

Determine how many subintervals are required to guarantee accuracy to within 0.00001 for the approximation of the integral $$\int _ { 1 } ^ { 2 } \ln \left( 1 + x ^ { 2 } \right) d x$$ using (a) the trapezoidal rule and (b) Simpson's rule.