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)

hope you arr happy with the answer..

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