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Integral of sec(x) - Brad's Blog

Integral of sec(x): Z 1 cos(x) dx= Z cos(x) cos2(x) dx= Z cos(x) 1 − sin2(x) dx Now use u - substitution and sub in u for sin(x). Then use partial fractions to get... Z 1 1 − u2 du= 1 2 Z 1 1 − u + 1 1+ u du= 1 2 (ln| u+1| − ln| u − 1| ) + C= 1 2 ln u+1 u...

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