Chapter 8.4, Problem 70E

Fluid Force Evaluate the following two integrals, which yield the fluid forces given in Example 6.

(a) $F_{\text{inside}}=48{\displaystyle {\int }_{-1}^{0.8}(0.8-y)(2)\sqrt{1-y^2}dy}$

(b) $F_{\text{outside}}=64{\displaystyle {\int }_{\$\$\$}^{0.4}(0.4-y)(2)\sqrt{1-y^2}dy}$