limits^1_0 {ex^2} \, dx" alt="\int\limits^1_0 {ex^2} \, dx" align="absmiddle" class="latex-formula"> cannot be evaluated by finding an anti-derivative. Find a lower bound for the integer n to use for the Trapezoidal Rule in order to yield an error of no more than 10⁻⁶ for the approximation of the integral. You may want to use one of the following inequalities. If f(x) = ex², then f"(x) ≤ 6e and f ^{iv}(x) ≤ 76e for 0 ≤ x ≤ 1.