The Norbert H and Jason M Kluga science, math and engineering blog. Dedicated to the science discussions I would have with my grandfather Norbert and great uncle John and to the artistic influence of my grandmother Lorraine. And most of all, to my late mother who grounded me and nurtured my passion for science, engineering and music.
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derivative and integral of arcsec(x)
We can use the derivative of arcsec(x) to find the integral of it using integration by parts. Then we do a simple trigonometric substitution and we are home free.
steps:
1) Integration by parts where u = arcsec(x) and dv = dx
2) Trigonometric Substitution where x = sec(θ) and dx = sec(θ)tan(θ)dθ