Question: Compute dx/x 2 1 in two ways and verify that the answers agree: first via trigonometric substitution and then using the identity 1 x-1

Compute ∫dx/x− 1 in two ways and verify that the answers agree: first via trigonometric substitution and then using the identity

1 x-1 2 1 1 x-1 1 x + 1

1 x-1 2 1 1 x-1 1 x + 1

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