integral of sec⁡xtan⁡x

amevaa0y

amevaa0y

Answered

2022-01-23

integral of secxtanx

Answer & Explanation

Micah May

Micah May

Expert

2022-01-24Added 11 answers

integration by parts
secxtanxdx=sec2xsinxdx
Let u=sinxanddv=sec2xdxdu=cosxdxandv=tanx
sec2xsinxdx=tanxsinxtanxcosxdx
=tanxsinxsinxdx
=tanxsinx+cosx+c
note that
tanxsinx+cosx=sin2xcosx+cos2xcosx
=1cosx
=secx

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