## Calculus 8th Edition

$7000$ lbs
Here, $A_i=2 \triangle x$ The depth of the plate is from $x=3$ to $x=3+8=11m$ and $F_i=P_iA_i=62.5 \times x_i \times 2 \triangle x$ Thus, $F=\lim\limits_{n \to \infty} \Sigma_{i=1}^n 62.5(x_i) \times 2 dx$ This gives: $F=(2) \int_3^{11} 62.5(x_i) \times 2 dx$ and $F=(62.5) |x^2|_3^{11}=62.5 \times (121-9)=7000$ lbs