What are the principal values of sec function? If I want to substitute say secx=t in an integral, and x assumes values from 0 to pi. Then what values would t assume?
Ps. It's not 1 to -1. I'm getting the negative answer.
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Solution
Principal values of sec functions,= {0-pi}-{pi/2}
(1/cosx)=t x varies from 0 to pi, t has the values , (-inf , -1] U [1 , + inf)