Recall that the substitution x a sec implies either x a (in which case 0 2 and tan 0) or x a (in which case 2 and tan 0) Graph the function and consider the region bounded by the curve and the x axis on 6, 3 Then evaluate Be sure he result is consistent with the graph Vx 9 f(x) Vx 9 dx 3 2 6...

6 Let x 3 sec 0 for x 27 x 9 x dx 5 4 23 3 tan 0 0 3 ...

Recall that the substitution x = a sec implies either x a (in which case

Question:

Recall that the substitution x = a sec θ implies either x ≥ a (in which case 0 ≤ θ < π/2 and tan θ ≥ 0) or x ≤ -a (in which case π/2 < θ ≤ π and tan θ ≤ 0).

Graph the function Vx? – 9 f(x) : х and consider the region bounded by the curve and the x-axis on [-6, -3]. Then evaluate Vx² – 9 dx. -3 .2 х -6 Be sure he result is consistent with the graph.