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da 9 sect tan dt Now substitute and simplify to get a trig integral in...

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Calculus

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da 9 sect tan dt Now substitute and simplify to get a trig integral in terms of t The trig integral should no longer involve a square root 81 da A 81 sect tan dt t Part 2 Evaluating the Trig Integral From previous integration techniques we know that St tan t sec t dt sec t sec t dt sec t tan t 2 The final result would then be In sec t tan t 2 Use this to evaluate the trig integral from Part 1 and then substitute back to get the final result in terms of x To substitute back in terms of x you would use sec t tan t

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