0 \leq x^{2} \tan ^{-1} x \leq \frac{\pi x^{2}}{4} \quad \text { for all } 0 \leq x \leq 1 \int_{0}^{1} x^{2} \tan ^{-1} x d x a. Explain why

b. Use the properties of the integrals \text { lies on the interval }\left[0, \frac{\pi}{12}\right] \text { . }