Show that f dx x -1 sec_x + C = tan1x-1 +C if x > 1...

 

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Show that f dx x√ -1 sec_¹x + C = tan¹1√x²-1 +C if x > 1 - sec_¹x + C = -tan ¹(-√x²-1) +C ifx< -1. First consider the case where x > 1. Find a trigonometric substitution for x. Show that f dx x√ -1 sec_¹x + C = tan¹1√x²-1 +C if x > 1 - sec_¹x + C = -tan ¹(-√x²-1) +C ifx< -1. First consider the case where x > 1. Find a trigonometric substitution for x.

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