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Example 10

08_exp-log_functions-585.gif. We draw the triangle shown in Figure 8.9.2 and use the substitution x = 6 sec θ.

Figure 8.9.208_exp-log_functions-586.gif

Then 08_exp-log_functions-587.gif, dx = θ tan θ sec θ dθ, and the integral becomes

08_exp-log_functions-588.gif

08_exp-log_functions-589.gif


Last Update: 2006-11-15