Show that where z denotes the principal branch L 2 dz = 1+e= 2 -(1 -...

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Show that where z denotes the principal branch L 2¹ dz = 1+e=" 2 -(1 - i), 2¹ = exp(i Log 2) (2> 0, π < Arg z Suggestion: Use an antiderivative of the branch of the same power function. 3π < arg z < π 2² = exp(i log 2) (12 > 0, -/ < |2| Show that where z denotes the principal branch L 2¹ dz = 1+e=" 2 -(1 - i), 2¹ = exp(i Log 2) (2> 0, π < Arg z Suggestion: Use an antiderivative of the branch of the same power function. 3π < arg z < π 2² = exp(i log 2) (12 > 0, -/ < |2|

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